Applications of Lie ring methods to group theory
Pavel Shumyatsky
TL;DR
This paper demonstrates how Lie ring methods, inspired by Zelmanov's Lie-theoretic results, can be effectively applied to solve various problems in group theory, showcasing the interplay between Lie theory and group theory.
Contribution
It introduces the application of Lie ring techniques to address complex problems in group theory, highlighting the utility of Zelmanov's results in this context.
Findings
Lie ring methods provide new insights into group theoretical problems
Zelmanov's Lie-theoretic results facilitate solutions in group theory
The approach bridges Lie theory and group theory for problem-solving
Abstract
This is an old article of 2000. Its aim is to illustrate how a Lie-theoretic result of Zelmanov enables one to treat various problems in group theory.
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Taxonomy
TopicsAdvanced Topics in Algebra · Molecular spectroscopy and chirality