Khukhro-Makarenko type theorems for algebras
Elizaveta Frolova
TL;DR
This paper extends recent group-theoretic results to the realm of algebras, establishing analogues of theorems concerning large characteristic subalgebras with specific properties.
Contribution
It introduces new algebraic theorems inspired by Khukhro, Klyachko, Makarenko, Milentyeva, and Shumyatsky's group results, adapting them to algebraic structures.
Findings
Proved analogues of group-theoretic theorems for algebras.
Identified conditions for large characteristic subalgebras with certain properties.
Extended the understanding of algebraic structures through these new theorems.
Abstract
We prove some anologues for algebras of recent group-theoretic results (due to Khukhro, Klyachko, Makarenko, Milentyeva, and Shumyatsky) on large characteristic subgroups satisfying a given property.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Advanced Algebra and Geometry