A. Buturlakin

activity

20112025

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Showing 2018 · math.GRShow all

3 papers · 2 filters

math.GR2018

The graph of atomic divisors and constructive recognition of finite simple groups

Alexander A. Buturlakin, Andrey V. Vasil'ev

The spectrum $ω (G)$ of a finite group $G$ is the set of orders of elements of $G$ . We present a polynomial-time algorithm that, given a finite set $M$ of positive integers…

math.GR2018

A Criterion for the Existence of a Solvable $π$ -Hall Subgroup in a Finite Group

A. A. Buturlakin, A. P. Khramova

Let $G$ be a finite group and let $π$ be a set of primes. In this paper, we prove a criterion for the existence of a solvable $π$ -Hall subgroup of $G$ , precisely, the group $G$ has…

math.GR2018

Locally finite groups of finite $c$ -dimension

A. A. Buturlakin

The supremum of lengths of strict chains of nested centralizers is called the $c$ -dimension (centralizer dimension) of $G$ . We prove two structure theorems for locally finite group…

The graph of atomic divisors and constructive recognition of finite simple groups

A Criterion for the Existence of a Solvable π-Hall Subgroup in a Finite Group

Locally finite groups of finite c-dimension

A Criterion for the Existence of a Solvable $π$ -Hall Subgroup in a Finite Group

Locally finite groups of finite $c$ -dimension