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Describing units of integral group rings up to commensurability

Journal Contribution - Journal Article

We restrict the type of 2×2-matrices which can occur as simple components in the Wedderburn decomposition of the rational group algebra of a finite group. This results in a description up to commensurability of the group of units of the integral group ring ZG for all finite groups G that do not have a non-commutative Frobenius complement as a quotient.
Journal: J. Pure Appl. Algebra
ISSN: 0022-4049
Issue: 7
Volume: 219
Pages: 2901-2916
Publication year:2015
Keywords:Units in integral group rings,, rational group representations, Wedderburn components
  • ORCID: /0000-0001-9557-619X/work/71140780
  • WoS Id: 000351248100020
  • Scopus Id: 84925101054
CSS-citation score:1