Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584351 | Journal of Algebra | 2015 | 6 Pages |
Abstract
The Lausch group of a Lockett class of groups is decomposed into a direct product of cyclic groups under very general hypotheses applicable to many Fitting pairs defined in the literature. The Fitting pairs are shown to exhibit strong independence properties. The results apply to the class of all solvable groups, and, therefore, to all Lockett classes satisfying the Lockett conjecture.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Thomas R. Berger, Ian Hawthorn,