6533b7dbfe1ef96bd126fe9b

RESEARCH PRODUCT

Real groups and Sylow 2-subgroups

Gabriel NavarroPham Huu Tiep

subject

Discrete mathematicsConjectureGroup (mathematics)General Mathematics010102 general mathematicsSylow theorems01 natural sciencesCombinatoricsLocally finite group0103 physical sciences010307 mathematical physics0101 mathematicsAbelian groupMathematics

description

Abstract If G is a finite real group and P ∈ Syl 2 ( G ) , then P / P ′ is elementary abelian. This confirms a conjecture of Roderick Gow. In fact, we prove a much stronger result that implies Gow's conjecture.

https://doi.org/10.1016/j.aim.2016.05.013