String C-groups with real Schur index 2

Peter J. Cameron; Allen Herman; Dimitri Leemans

doi:10.1016/j.jpaa.2022.107025

String C-groups with real Schur index 2

Peter J. Cameron, Allen Herman^*, Dimitri Leemans

^*Corresponding author for this work

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

Abstract

We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index 2. This answers a problem of Monson concerning these groups.

Original language	English
Article number	107025
Number of pages	5
Journal	Journal of Pure and Applied Algebra
Volume	226
Issue number	8
Early online date	2 Feb 2022
DOIs	https://doi.org/10.1016/j.jpaa.2022.107025
Publication status	Published - Aug 2022

Keywords

String C-groups
Schur index
Regular abstract polytopes
Simple groups of Lie type

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10.1016/j.jpaa.2022.107025Licence: Unspecified

210414jpaaCHL_final
Copyright © 2022 Elsevier B.V. All rights reserved. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.jpaa.2022.107025.
Accepted author manuscript, 278 KBLicence: CC BY-NC-ND

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@article{ecaed34615134626b731a5d1c4c32b4f,

title = "String C-groups with real Schur index 2",

abstract = "We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index 2. This answers a problem of Monson concerning these groups.",

keywords = "String C-groups, Schur index, Regular abstract polytopes, Simple groups of Lie type",

author = "Cameron, \{Peter J.\} and Allen Herman and Dimitri Leemans",

note = "Funding: NSERC Discovery Grant (AH); ARC Advanced grant of the Communaut{\'e} Fran{\c c}aise Wallonie-Bruxelles (DL).",

year = "2022",

month = aug,

doi = "10.1016/j.jpaa.2022.107025",

language = "English",

volume = "226",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

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T1 - String C-groups with real Schur index 2

AU - Cameron, Peter J.

AU - Herman, Allen

AU - Leemans, Dimitri

N1 - Funding: NSERC Discovery Grant (AH); ARC Advanced grant of the Communauté Française Wallonie-Bruxelles (DL).

PY - 2022/8

Y1 - 2022/8

N2 - We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index 2. This answers a problem of Monson concerning these groups.

AB - We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index 2. This answers a problem of Monson concerning these groups.

KW - String C-groups

KW - Schur index

KW - Regular abstract polytopes

KW - Simple groups of Lie type

UR - https://www.scopus.com/pages/publications/85123823818

U2 - 10.1016/j.jpaa.2022.107025

DO - 10.1016/j.jpaa.2022.107025

M3 - Article

AN - SCOPUS:85123823818

SN - 0022-4049

VL - 226

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 8

M1 - 107025

ER -

String C-groups with real Schur index 2

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