Sergey Shpectorov

2024

Automorphism groups of axial algebras

Gorshkov, I. B., McInroy, J., Mudziiri Shumba, T. M. & Shpectorov, S., 1 Jan 2025, In: Journal of Algebra. 661, p. 657-712 56 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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16 Downloads (Pure)

2023

2-generated axial algebras of Monster type (2β,β)

Franchi, C., Mainardis, M. & Shpectorov, S., 15 Dec 2023, In: Journal of Algebra. 636, p. 123-170 48 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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67 Downloads (Pure)

From forbidden configurations to a classification of some axial algebras of Monster type

Mcinroy, J. & Shpectorov, S., 1 Aug 2023, In: Journal of Algebra. 627, p. 58-105

Research output: Contribution to journal › Article › peer-review

Open Access

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86 Downloads (Pure)

2022

An infinite-dimensional 2-generated primitive axial algebra of Monster type

Franchi, C., Mainardis, M. & Shpectorov, S., Jun 2022, In: Annali di Matematica Pura ed Applicata. 201, p. 1279-1293 15 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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2 Citations (Scopus)

57 Downloads (Pure)

Axial algebras of Jordan and Monster type

McInroy, J. & Shpectorov, S., 16 Sept 2022, arXiv, p. 1-40, 40 p.

Research output: Working paper/Preprint › Preprint

Enumerating 3-generated axial algebras of Monster type

Khasraw, S. M. S., McInroy, J. & Shpectorov, S., Feb 2022, In: Journal of Pure and Applied Algebra. 226, 2, 21 p., 106816.

Research output: Contribution to journal › Article › peer-review

Open Access

From forbidden configurations to a classification of some axial algebras of Monster type

McInroy, J. & Shpectorov, S., 30 Dec 2022, arXiv, p. 1-48, 48 p.

Research output: Working paper/Preprint › Preprint

Split spin factor algebras

McInroy, J. & Shpectorov, S., 1 Apr 2022, In: Journal of Algebra. 595, p. 380-397 18 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2021

Double axes and subalgebras of Monster type in Matsuo algebras

Galt, A., Joshi, V., Mamontov, A., Shpectorov, S. & Staroletov, A., 25 Jun 2021, In: Communications in Algebra. 49, 10, p. 4208-4248 41 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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55 Downloads (Pure)

The spectra of finite 3-transposition groups

Hall, J. I. & Shpectorov, S., 8 Jul 2021, (E-pub ahead of print) In: Arabian Journal of Mathematics. 10, 3, p. 611-638

Research output: Contribution to journal › Article › peer-review

Open Access

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139 Downloads (Pure)

2020

An expansion algorithm for constructing axial algebras

McInroy, J. & Shpectorov, S., 15 May 2020, In: Journal of Algebra. 550, p. 379-409 31 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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1 Citation (Scopus)

66 Downloads (Pure)

Decomposition algebras and axial algebras

Medts, T. D., Peacock, S. F., Shpectorov, S. & Couwenberghe, M. V., 15 Aug 2020, In: Journal of Algebra. 556, p. 287-314 28 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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2 Citations (Scopus)

190 Downloads (Pure)

2019

Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram

Blok, R., Hoffman, C. & Shpectorov, S., 17 Apr 2019, In: Israel Journal of Mathematics. 230, 1, p. 97–140 44 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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180 Downloads (Pure)

On the Non-Existence of srg(76,21,2,7)

Alfuraidan, M. R., Sarumi, I. O. & Shpectorov, S., 1 Jul 2019, In: Graphs and Combinatorics. 35, 4, p. 847-854 8 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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197 Downloads (Pure)

On the structure of axial algebras

Khasraw, S., McInroy, J. & Shpectorov, S., 2 Dec 2019, (E-pub ahead of print) In: Transactions of the American Mathematical Society. 373, 3, p. 2135-2156

Research output: Contribution to journal › Article › peer-review

Open Access

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6 Citations (Scopus)

262 Downloads (Pure)

2018

l₁-embeddability of generic quadrilateral Möbius maps

Wang, G. & Shpectorov, S., 22 Feb 2018, (E-pub ahead of print) In: European Journal of Combinatorics.

Research output: Contribution to journal › Article › peer-review

Miyamoto involutions in axial algebras of Jordan type half

Hall, J. I., Segev, Y. & Shpectorov, S., Feb 2018, In: Israel Journal of Mathematics. 223, 1, p. 261-308 48 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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9 Citations (Scopus)

203 Downloads (Pure)

On primitive axial algebras of Jordan type

Hall, J. I., Segev, Y. & Shpectorov, S., 31 Dec 2018, In: Bulletin of the Institute of Mathematics Academia Sinica New Series. 13, 4, p. 397-409 13 p.

Research output: Contribution to journal › Article › peer-review

The hyperplanes of the near hexagon related to the extended ternary Golay code

De Bruyn, B. & Shpectorov, S., 19 Oct 2018, (E-pub ahead of print) In: Geometriae Dedicata. 18 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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172 Downloads (Pure)

2015

On Sidki's presentation for orthogonal groups

McInroy, J. & Shpectorov, S., 5 Jul 2015, In: Journal of Algebra. 434, p. 227-248 22 p.

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

7 Downloads (Pure)

On the uniqueness of the generalized octagon of order (2, 4)

Cohen, A. M., O'Brien, E. A. & Shpectorov, S., 1 Jan 2015, In: Journal of Algebra. 421, p. 369-393 25 p.

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Primitive axial algebras of Jordan type

Hall, J. I., Rehren, F. & Shpectorov, S., 1 Sept 2015, In: Journal of Algebra. 437, p. 79-115 37 p.

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

7 Downloads (Pure)

Recovering the Lie algebra from its extremal geometry

Cuypers, H., Roberts, K. & Shpectorov, S., 1 Nov 2015, In: Journal of Algebra. 441, p. 196-215 20 p.

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

12 Downloads (Pure)

The lift invariant distinguishes components of Hurwitz spaces for A₅

Magaard, K., Shpectorov, S. & James, A., 2015, In: Proceedings of the American Mathematical Society. 143, p. 1377-1390 14 p.

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

16 Downloads (Pure)

Universal axial algebras and a theorem of Sakuma

Hall, J. I., Rehren, F. & Shpectorov, S., 1 Jan 2015, In: Journal of Algebra. 421, p. 394-424 31 p.

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

2014

New flag-transitive geometries for the groups {Mathematical expression} and {Mathematical expression}

McInroy, J. F., Pralle, H. & Shpectorov, S., Dec 2014, In: Geometriae Dedicata. 173, 1, p. 65–82 18 p.

Research output: Contribution to journal › Article › peer-review

2012

Asymptotic number of isometric generalized Fibonacci cubes

Klavzar, S. & Shpectorov, S., 1 Feb 2012, In: European Journal of Combinatorics. 33, 2, p. 220-226 7 p.

Research output: Contribution to journal › Article

19 Citations (Scopus)

Characterizing almost-median graphs II

Klavzar, S. & Shpectorov, S., 1 Jan 2012, In: Discrete Mathematics. 312, 2, p. 462-464 3 p.

Research output: Contribution to journal › Article

2 Citations (Scopus)

Convex excess in partial cubes

Klavžar, S. & Shpectorov, S., 1 Apr 2012, In: Journal of Graph Theory. 69, 4, p. 356-369 14 p.

Research output: Contribution to journal › Article

11 Citations (Scopus)

Lie algebras and 3-transpositions

Cuypers, H., in 't panhuis, J., Horn, M. & Shpectorov, S., 15 Oct 2012, In: Journal of Algebra. 368, p. 21-39 19 p.

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Majorana representations of L₃(2)

Ivanov, A. A. & Shpectorov, S., Oct 2012, In: Advances in Geometry. 12, 4, p. 717-738 22 p.

Research output: Contribution to journal › Article › peer-review

On a class of affine geometries

Hoffman, C., Parker, C. W. & Shpectorov, S., 1 Sept 2012, In: Advances in Geometry. 12, 3, p. 381-399 19 p.

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

2010

On the simple connectedness of hyperplane complements in dual polar spaces, II

McInroy, J. & Shpectorov, S., 1 Apr 2010, In: Discrete Mathematics. 310, 8, p. 1381-1388 8 p.

Research output: Contribution to journal › Article

5 Citations (Scopus)

The hyperplanes of the U_4(3) near hexagon

De Bruyn, B. & Shpectorov, S., 1 Jan 2010, In: Graphs and Combinatorics.

Research output: Contribution to journal › Article

1 Citation (Scopus)

2009

A Variant of the Reidermeister-Schreier Algorithm for the Fundamental Groups of Riemann Surfaces

Magaard, K. & Shpectorov, S., 1 Aug 2009.

Research output: Contribution to conference (unpublished) › Paper › peer-review

Majorana representations of the Symmetric group of degree 4

Ivanov, A., Pasechnik, D., Seress, A. & Shpectorov, S., 1 Jan 2009, In: Journal of Algebra. 324, 9, p. 2432-2463

Research output: Contribution to journal › Article

29 Citations (Scopus)

On the definition of saturated fusion systems

Roberts, K. & Shpectorov, S., 1 Sept 2009, In: Journal of Group Theory. 12, 5, p. 679-687 9 p.

Research output: Contribution to journal › Article

17 Citations (Scopus)

Part Special Issue on METRIC GRAPH THEORY Preface

Klavzar, S. & Shpectorov, S., 1 Jul 2009, In: European Journal of Combinatorics. 30, 5, p. 1045-1047 3 p.

Research output: Contribution to journal › Editorial

Polyhexes that are ℓ1graphs

Deza, M. & Shpectorov, S., 1 Jul 2009, In: European Journal of Combinatorics. 30, 5, p. 1090-1100 11 p.

Research output: Contribution to journal › Article

5 Citations (Scopus)

2008

Hypercube Embeddings of Wythoffians

Deza, M., Dutour Sikiric, M. & Shpectorov, S., 1 Jan 2008, In: Ars Mathematica Contemporanea. 1, p. 99-111 13 p.

Research output: Contribution to journal › Article

The linking systems of the Solomon 2-local finite groups are simply connected

Chermak, A., Oliver, B. & Shpectorov, S., 23 Jan 2008, In: London Mathematical Society. Proceedings . 97, 1, p. 209-238 30 p.

Research output: Contribution to journal › Article

3 Citations (Scopus)

2007

Non-extendible finite polycycles

Deza, M., Shpectorov, S. & Shtogrin, M., 18 Oct 2007, In: Izvestiya: Mathematics. 70, 1, p. 1-18 18 p.

Research output: Contribution to journal › Article

1 Citation (Scopus)

Odd-dimensional orthogonal groups as amalgams of unitary groups. I. General simple connectedness

Gramlich, R., Hoffman, C., Shpectorov, S. & Bennett, C., 1 Jun 2007, In: Journal of Algebra. 312, 1, p. 426-444 19 p.

Research output: Contribution to journal › Article

7 Citations (Scopus)

The ovoidal hyperplanes of a dual polar space of rank 4

Pralle, H. & Shpectorov, S., 1 Jan 2007, In: Advances in Geometry. 7, 1, p. 1-17 17 p.

Research output: Contribution to journal › Article

8 Citations (Scopus)

Tribes of cubic partial cubes

Klavzar, S. & Shpectorov, S., 1 Jan 2007, In: Discrete Mathematics and Theoretical Computer Science. 9, 1, p. 273-291 19 p.

Research output: Contribution to journal › Article

2006

New geometric presentations for Aut G_2(3) and G_2(3)

Shpectorov, S. & Hoffman, C., 1 Jan 2006, In: Bulletin of the Belgian Mathematical Society. Simon Stevin. 12, 5, p. 813-826 14 p.

Research output: Contribution to journal › Article

2005

A characterization of the P-geometry for M23

Hall, J. & Shpectorov, S., 1 Jul 2005, In: Advances in Geometry. 5, 3, p. 421-430 10 p.

Research output: Contribution to journal › Article

1 Citation (Scopus)

Even-dimensional orthogonal groups as amalgams of unitary groups

Gramlich, R., Hoffman, C., Shpectorov, S. & Nickel, W., 1 Feb 2005, In: Journal of Algebra. 284, 1, p. 141-173 33 p.

Research output: Contribution to journal › Article

12 Citations (Scopus)

Graphs 4n that are isometrically embeddable in hypercubes

Deza, M., Dutour, M. & Shpectorov, S., 1 Jan 2005, In: Bulls SEAMS. 29, p. 469-484 16 p.

Research output: Contribution to journal › Article

New geometric presentations for Aut G2(3) and G2(3)

Hoffman, C. & Shpectorov, S., 1 Dec 2005, In: Bulletin of the Belgian Mathematical Society - Simon Stevin. 12, 5, p. 813-826 14 p.

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Sergey Shpectorov

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