Exceptional group ring automorphisms for some metabelian groups
Titel:
Exceptional group ring automorphisms for some metabelian groups
Auteur:
Blanchard, Peter Floodstrand
Verschenen in:
Communications in algebra
Paginering:
Jaargang 25 (1997) nr. 9 pagina's 2727-2733
Jaar:
1997
Inhoud:
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
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