A. V. Vasil’ev

collaborators

5 papers

gr-qc2026

Cosmological Vacuum Decays from Schwinger-Keldysh Formalism

Zi-Yan Yuwen

In this work, we establish a systematic framework to describe the vacuum decays in a radiation-dominated FLRW universe from the Schwinger-Keldysh formalism. By splitting the phase…

math.GR2026

The problem of recognition of finite simple groups by element orders is solved

Maria A. Grechkoseeva, Alexey M. Staroletov, Andrey V. Vasil'ev

For a finite group $G$ , let $I ¨ (G)$ be the set of element orders of $G$ and let $h (G)$ be the number of pairwise nonisomorphic finite groups $H$ with $I ¨ (H) = I ¨ (G)$ . We say that the…

math.GR2026

Characterization of the alternating and symmetric groups by the order and conjugacy class sizes

Ilya Gorshkov, Andrey V. Vasil'ev

We prove that an arbitrary finite group $G$ having the same order and same set of conjugacy class sizes as an alternating or symmetric group $S$ must be isomorphic to $S$ . From thi…

math.GR2026

Recognition by element orders for simple linear and unitary groups

Maria A. Grechkoseeva, Alexey M. Staroletov, Andrey V. Vasil'ev

For a finite group $G$ , let $I ¨ (G)$ be the set of element orders of $G$ and let $h (G)$ be the number of pairwise nonisomorphic finite groups $H$ with $I ¨ (H) = I ¨ (G)$ . We say that the…

math.GR2026

Relatively closed subgroups of permutation groups with a cyclic regular normal subgroup

Alexander Buturlakin, Andrey V. Vasil'ev

Motivated by some known problems concerning combinatorial structures associated with finite one-dimensional affine permutation groups, we study subgroups which are closed in $\oper…