On the Prime Graph Question for Integral Group Rings of Conway simple groups.

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4 Citations (Scopus)

Abstract

The Prime Graph Question for integral group rings asks if it is true that if the normalized unit group of the integral group ring of a finite group G contains an element of order pq, for some primes p and q, also G contains an element of that order. We answer this question for the three Conway sporadic simple groups after reducing it to a combinatorial question about Young tableaux and Littlewood-Richardson coefficients. This finishes work of V. Bovdi, A. Konovalov and S. Linton.
Original languageEnglish
Pages (from-to)162-176
Number of pages15
JournalJournal of Symbolic Computation
Volume95
DOIs
Publication statusPublished - 1 Nov 2019

Keywords

  • Unit group
  • Sporadic simple groups
  • Prime graph question
  • Group ring

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