Journal
JOURNAL OF ALGEBRA
Volume 585, Issue -, Pages 316-337Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2021.06.009
Keywords
Brauer p-blocks; Principal p-block; Defect group; k(B)
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Funding
- Spanish Ministerio de Ciencia e Innovacion [PID2019-103854GB-I00, SEV-2015-0554, MTM2017-82690-P]
- FEDER funds
- Convocatoria de contratacion para la especializacion de personal investigador doctor en la UPV/EHU (2019) [ESPDOC19/53]
- Generalitat Valenciana [AICO/2020/298]
- National Science Foundation [DMS-1801156]
- Madrid Government (Comunidad de Madrid-Spain)
- UC3M [EPUC3M23]
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This study demonstrates that if the principal p-block of a finite group contains 5 irreducible characters, then the order of a Sylow p-subgroup can only be 5, 7, or isomorphic to a non-abelian 2-group of order 8.
We show that if the principal p-block of a finite group G contains exactly 5 irreducible ordinary characters, then a Sylow p-subgroup of G has order 5, 7 or is isomorphic to one of the non-abelian 2-groups of order 8. (C) 2021 Elsevier Inc. All rights reserved.
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