Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895970 | Journal of Algebra | 2018 | 25 Pages |
Abstract
Let N be a nilpotent normal subgroup of the finite group G. Assume that u is a unit of finite order in the integral group ring ZG of G which maps to the identity under the linear extension of the natural homomorphism GâG/N. We show how a result of Cliff and Weiss can be used to derive linear inequalities on the partial augmentations of u and apply this to the study of the Zassenhaus Conjecture. This conjecture states that any unit of finite order in ZG is conjugate in the rational group algebra of G to an element in ±G.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Leo Margolis, Ángel del RÃo,