Mikhail Kabenyuk

activity

20232026

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math.GR2026

Factors in infinite groups

Mikhail Kabenyuk

Let $G$ be a group and $A \subseteq G$ a non-empty subset. A right $s$ -factor associated with $A$ is a maximal subset $U \subseteq G$ such that the product $A U$ is direct. The lower…

math.GR2026

Factors in finite groups and well-covered graphs

Mikhail Kabenyuk

We study a combinatorial property of subsets in finite groups that is analogous to the notion of independence in graphs. Given a group $G$ and a non-empty subset $A \subset G$ , we d…