1. On Classes of Exponential A-Groups.
- Author
-
Majewicz, Stephen
- Subjects
NILPOTENT groups ,FINITE groups ,EXPONENTS ,ALGEBRA ,AXIOMS - Abstract
In this article, we introduce several classes of exponential A-groups. These classes include IA-groups, [image omitted]-groups, and A-groups of type HP. We also record some known results for nilpotent R-powered groups, a thoroughly studied class of exponential A-groups. We derive a residual property of UTn([x]) and establish the freeness of UT3([x]) in a class of [image omitted]-groups. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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