Recognizing PSL(2, p) in the non-Frattini chief factors of finite groups

Duong Hoang Dung

Research output: Contribution to journalArticle

Abstract

Given a finite group G, let PG(s) be the probability that s randomly chosen elements generate G, and let H be a finite group with (Formula presented.). We show that if the nonabelian composition factors of G and H are PSL(2, p) for some non-Mersenne prime (Formula presented.) , then G and H have the same non-Frattini chief factors.

Original languageEnglish
Pages (from-to)201-208
Number of pages8
JournalArchiv der Mathematik
Volume106
Issue number3
DOIs
Publication statusPublished - Mar 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Recognizing PSL(2, p) in the non-Frattini chief factors of finite groups'. Together they form a unique fingerprint.

  • Cite this