Details
Original language | English |
---|---|
Pages (from-to) | 438-444 |
Number of pages | 7 |
Journal | Bulletin of the Australian Mathematical Society |
Volume | 96 |
Issue number | 3 |
Early online date | 2 May 2017 |
Publication status | Published - 2017 |
Externally published | Yes |
Abstract
We prove that a finite coprime linear group (Formula presented.) in characteristic (Formula presented.) has a regular orbit. This bound on (Formula presented.) is best possible. We also give an application to blocks with abelian defect groups.
Keywords
- coprime linear groups, minimal subgroups, regular orbits
ASJC Scopus subject areas
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In: Bulletin of the Australian Mathematical Society, Vol. 96, No. 3, 2017, p. 438-444.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - REGULAR ORBITS OF COPRIME LINEAR GROUPS IN LARGE CHARACTERISTIC
AU - Sambale, Benjamin
N1 - Funding information: This work is supported by the German Research Foundation (project SA 2864/1-1) and the Daimler and Benz Foundation (project 32-08/13).
PY - 2017
Y1 - 2017
N2 - We prove that a finite coprime linear group (Formula presented.) in characteristic (Formula presented.) has a regular orbit. This bound on (Formula presented.) is best possible. We also give an application to blocks with abelian defect groups.
AB - We prove that a finite coprime linear group (Formula presented.) in characteristic (Formula presented.) has a regular orbit. This bound on (Formula presented.) is best possible. We also give an application to blocks with abelian defect groups.
KW - coprime linear groups
KW - minimal subgroups
KW - regular orbits
UR - http://www.scopus.com/inward/record.url?scp=85018419373&partnerID=8YFLogxK
U2 - 10.1017/S0004972717000326
DO - 10.1017/S0004972717000326
M3 - Article
AN - SCOPUS:85018419373
VL - 96
SP - 438
EP - 444
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
SN - 0004-9727
IS - 3
ER -