Khukhro-Makarenko type theorems for algebras

Elizaveta Frolova

Khukhro-Makarenko type theorems for algebras

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arxiv 1804.00268 v1 pith:IQ2TNQLT submitted 2018-04-01 math.RA

Elizaveta Frolova This is my paper · ORCID

classification math.RA

keywords algebrasanologuescharacteristicgivengroup-theoretickhukhrokhukhro-makarenkoklyachko

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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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Invariant systems of representatives, or The cost of symmetry
math.CO 2019-08 conditional novelty 6.0 of 10

Under any group action, a finite system of representatives of size r for a bounded family of sets can be replaced by an invariant system of representatives of size at most r times the maximum set size.

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