6533b7d1fe1ef96bd125c274

RESEARCH PRODUCT

Sylow numbers and nilpotent Hall subgroups

Alexander Moretó

subject

Discrete mathematicsp-groupComplement (group theory)Pure mathematicsAlgebra and Number TheoryMathematics::Number TheorySylow theoremsCentral seriesHall subgroupMathematics::Group TheoryNormal p-complementLocally finite groupNilpotent groupMathematics

description

Abstract Let π be a set of primes and G a finite group. We characterize the existence of a nilpotent Hall π-subgroup of G in terms of the number of Sylow subgroups for the primes in π.

https://doi.org/10.1016/j.jalgebra.2012.12.030