FINITE SOLVABLE TIDY GROUPS ARE DETERMINED BY HALL SUBGROUPS WITH TWO PRIMES

Author:

BEIKE NICOLAS F.ORCID,CARLETON RACHELORCID,COSTANZO DAVID G.ORCID,HEATH COLINORCID,LEWIS MARK L.ORCID,LU KAIWENORCID,PEARCE JAMIE D.ORCID

Abstract

Abstract In this paper, we investigate finite solvable tidy groups. We prove that a solvable group with order divisible by at least two primes is tidy if all of its Hall subgroups that are divisible by only two primes are tidy.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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