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- W2061450003 abstract "Let G be a group and R a commutative ring. One of the main objects Ž . investigated in the theory of group rings is the unit group U s U R, G of the group ring RG. Despite many efforts, the structure of this group is very poorly understood, especially when the group is infinite. The aim of Ž . this work is to study the normalizer N s N R, G of G in U. This group acts by conjugation on G, and the group of automorphisms of G obtained in this way is denoted by Aut G. Therefore Aut G is isomorphic to NrC, R R Ž . where C s C R, G is the center of U. Since G : N, the group Inn G of inner automorphisms of G is contained in Aut G, and by Out G we R R denote the group Aut GrInn G f NrGC. Out interest in the group N is R motivated by the following properties:" @default.
- W2061450003 created "2016-06-24" @default.
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- W2061450003 date "1999-02-01" @default.
- W2061450003 modified "2023-09-28" @default.
- W2061450003 title "The Normalizer of a Group in the Unit Group of Its Group Ring" @default.
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- W2061450003 doi "https://doi.org/10.1006/jabr.1998.7629" @default.
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