Journal article
Exceptional group ring automorphisms for some metabelian groups
Communications in Algebra, Vol.25(9), pp.2727-2733
01/01/1997
DOI: 10.1080/00927879708826018
Abstract
Let H be a generalized dihedral, semi-dihedral, quaternion, or modular group, and let A = (u, v, w) be a product of three odd order cyclic groups, with (|v|,|w|) = 1. For R a semi-local Dedekind domain of characteristic 0 in which no prime divisor of |H|.|A| is invertible, we prove that there is a semi-direct product G = H × A such that the group ring RG has an exceptional automorphism, i.e. provides a counter-example to a well-known conjecture of Zassenhaus on automorphisms of group rings
Details
- Title: Subtitle
- Exceptional group ring automorphisms for some metabelian groups
- Creators
- Peter Floodstrand Blanchard - Department of Mathematical Sciences , University of Alberta
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.25(9), pp.2727-2733
- Publisher
- Marcel Dekker, Inc
- DOI
- 10.1080/00927879708826018
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 01/01/1997
- Academic Unit
- Mathematics
- Record Identifier
- 9983985952402771
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