6533b836fe1ef96bd12a1247

RESEARCH PRODUCT

Characters and Sylow 2-subgroups of maximal class revisited

Gabriel NavarroPham Huu TiepBenjamin Sambale

subject

CombinatoricsFinite groupClass (set theory)Algebra and Number TheoryCharacter table010102 general mathematics0103 physical sciencesSylow theoremsOrder (group theory)010307 mathematical physics0101 mathematics01 natural sciencesMathematics

description

Abstract We give two ways to distinguish from the character table of a finite group G if a Sylow 2-subgroup of G has maximal class. We also characterize finite groups with Sylow 3-subgroups of order 3 in terms of their principal 3-block.

yearjournalcountryeditionlanguage
2018-11-01Journal of Pure and Applied Algebra
https://doi.org/10.1016/j.jpaa.2018.02.002