Chris Parker

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Chris Parker’s recent research has been focused on theorems designed to understand the classification theorem of the finite simple groups. This includes joint work primarily with Gernot Stroth, which aims to determine the finite simple groups of local characteristic p. Chris also contributes to projects which explore the appearance of exotic fusion systems and their relationship to finite simple groups. Important contributions here are separate joint works with Jason Semeraro and Valentina Grazian.

Research activity per year

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96 Article
2 Book
1 Chapter
1 Chapter (peer-reviewed)
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- 1 Comment/debate
- 1 Working paper

Expansion of normal subsets of odd-order elements in finite groups
Parker, C. & Saunders, J., 6 Apr 2026, In: Journal of the London Mathematical Society. 113, 4, 37 p., e70534.
Research output: Contribution to journal › Article › peer-review

Open Access
File
3 Downloads (Pure)
Fusion systems related to polynomial representations of SL₂(q)
Grazian, V., Parker, C., Semeraro, J. & Van Beek, M., 5 Mar 2026, In: Journal of London Mathematical Society. 113, 3, 54 p., e70481.
Research output: Contribution to journal › Article › peer-review

Open Access
File
4 Downloads (Pure)
Groups with conjugacy classes of coprime sizes
Camina, R. D., Maroti, A., Pacifici , E., Parker, C., Rekvenyi, K., Saunders, J., Sotomayer, V., Tracey, G. & van Beek, M., Mar 2026, In: Bulletin of the London Mathematical Society. 58, 3, 13 p., e70320.
Research output: Contribution to journal › Article › peer-review

Open Access
File
8 Downloads (Pure)
Lifting polynomial representations of SL₂(p^r) from 𝔽_p to ℤ/p^sℤ
Parker, C. & Van Beek, M., 21 Apr 2026, (E-pub ahead of print) In: Proceedings of the American Mathematical Society.
Research output: Contribution to journal › Article › peer-review

Open Access
File
3 Downloads (Pure)
2-Minimal Subgroups in Finite Exceptional Groups of Lie Type
Parker, C. & Rowley, P., 20 May 2025, (Accepted/In press) In: Journal of Algebra.
Research output: Contribution to journal › Article › peer-review

Open Access
File
283 Downloads (Pure)

Workshop : Finite Presentations of Finite and Infinte Groups
Parker, C. (Principal Investigator), Gramlich, R. (Co-Investigator), Magaard, K. (Co-Investigator) & Shpectorov, S. (Co-Investigator)
Engineering & Physical Science Research Council
21/07/11 → 20/10/11
Project: Research Councils
Support of Joint Research Group: Group Theory and Applications
Parker, C. (Principal Investigator)
LONDON MATHEMATICAL SOCIETY
1/10/06 → 31/03/09
Project: Research
Support of Collaborative Research with Dr S Shpectrov - LMS Scheme 4 Grant - Dr CW Parker
Parker, C. (Principal Investigator)
LONDON MATHEMATICAL SOCIETY
23/05/04 → 30/08/04
Project: Research
LMS Travel Grant
Parker, C. (Principal Investigator)
LONDON MATHEMATICAL SOCIETY
1/07/02 → 31/12/02
Project: Research
Symmetric generation of the larger sporadic simple groups: Visiting fellows
Curtis, R. (Principal Investigator) & Parker, C. (Co-Investigator)
Engineering & Physical Science Research Council
28/02/01 → 27/02/03
Project: Research Councils

LONDON MATHEMATICAL SOCIETY (External organisation)
Parker, C. (Advisor)
1 Nov 2019 → 2021
Activity: Membership › Membership of working group or committee
LONDON MATHEMATICAL SOCIETY (External organisation)
Parker, C. (Advisor)
1 Nov 2018 → 1 Nov 2028
Activity: Membership › Membership of working group or committee
Journal of Group Theory (Journal)
Parker, C. (Editor)
1 Sept 1996 → 2021
Activity: Publication peer-review and editorial work › Editorial board of a journal

Chris Parker

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Collaborations and top research areas from the last five years

Dive into details

Expansion of normal subsets of odd-order elements in finite groups

Fusion systems related to polynomial representations of SL₂(q)

Groups with conjugacy classes of coprime sizes

Lifting polynomial representations of SL₂(p^r) from 𝔽_p to ℤ/p^sℤ

2-Minimal Subgroups in Finite Exceptional Groups of Lie Type

Workshop : Finite Presentations of Finite and Infinte Groups

Support of Joint Research Group: Group Theory and Applications

Support of Collaborative Research with Dr S Shpectrov - LMS Scheme 4 Grant - Dr CW Parker

LMS Travel Grant

Symmetric generation of the larger sporadic simple groups: Visiting fellows

LONDON MATHEMATICAL SOCIETY (External organisation)

LONDON MATHEMATICAL SOCIETY (External organisation)

Journal of Group Theory (Journal)

Chris Parker

Fingerprint

Collaborations and top research areas from the last five years

Research output

Projects

Activities