Zassenhaus conjecture for central extensions of S5

Victor Bovdi, Martin Hertweck

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)

Abstract

We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S 5 and for the general linear group GL(2, 5). The first result, together with others from the literature, settles the conjugacy question for units of prime-power order in the integral group ring of a finite Frobenius group.

Original languageEnglish
Pages (from-to)63-74
Number of pages12
JournalJournal of Group Theory
Volume11
Issue number1
DOIs
Publication statusPublished - Jan 1 2008
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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