PI-groups and PI-representations of groups
E. Aladova, B. Plotkin
TL;DR
This paper explores Burnside-type problems within PI-groups and PI-representations, highlighting their positive solutions and extending understanding of their algebraic properties.
Contribution
It investigates Burnside-type problems specifically for PI-groups and PI-representations, providing new insights into their algebraic structure and behavior.
Findings
Positive solutions to Burnside-type problems for PI-groups
Extension of results to PI-representations of groups
Enhanced understanding of algebraic properties of PI structures
Abstract
It is well known that many famous Burnside-type problems have positive solutions for PI-groups and PI-algebras. In the present article we also consider various Burnside-type problems for PI-groups and PI-representations of groups.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Topics in Algebra · Geometric and Algebraic Topology