A 3-local characterization of U6(2) and Fi22

Christopher Parker

doi:10.1016/j.jalgebra.2005.10.043

A 3-local characterization of U6(2) and Fi22

Christopher Parker

Mathematics

Research output: Contribution to journal › Article

8 Citations (Scopus)

Abstract

The unitary group U-6(2), often referred to as Fi(21), and the sporadic simple group Fi(22), discovered by Fischer [B. Fischer, Finite groups generated by 3-transpositions. 1, Invent. Math. 13 (1971) 232246 [6]], are characterized by specifying partial information about the structure of the normalizer of a non-trivial 3-central cyclic subgroup. (c) 2005 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	707-728
Number of pages	22
Journal	Journal of Algebra
Volume	300
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2005.10.043
Publication status	Published - 15 Jun 2006

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title = "A 3-local characterization of U6(2) and Fi22",

abstract = "The unitary group U-6(2), often referred to as Fi(21), and the sporadic simple group Fi(22), discovered by Fischer [B. Fischer, Finite groups generated by 3-transpositions. 1, Invent. Math. 13 (1971) 232246 [6]], are characterized by specifying partial information about the structure of the normalizer of a non-trivial 3-central cyclic subgroup. (c) 2005 Elsevier Inc. All rights reserved.",

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AB - The unitary group U-6(2), often referred to as Fi(21), and the sporadic simple group Fi(22), discovered by Fischer [B. Fischer, Finite groups generated by 3-transpositions. 1, Invent. Math. 13 (1971) 232246 [6]], are characterized by specifying partial information about the structure of the normalizer of a non-trivial 3-central cyclic subgroup. (c) 2005 Elsevier Inc. All rights reserved.

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DO - 10.1016/j.jalgebra.2005.10.043

M3 - Article

VL - 300

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EP - 728

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

A 3-local characterization of U6(2) and Fi22

Abstract

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