A characteristic subgroup of a group of odd order

Z. Arad, G. Glauberman

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Let G be a finite solvable group of odd order. Suppose p is a prime, S is a Sylow p-subgroup of G, and Op (G) = 1. Let J(S) be the Thompson subgroup of S. Then, by a result of the second author (Lemma 6), Z(J(S)) <3 G.The object of this paper is to generalize the above result by replacing the prime p by a set of primes π.

Original languageEnglish
Pages (from-to)305-319
Number of pages15
JournalPacific Journal of Mathematics
Volume56
Issue number2
DOIs
StatePublished - Feb 1975
Externally publishedYes

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