N. Yang

activity

20172021

most citedFinite groups isospectral to simple groups

15 citations · 34 across the 10 of their papers we have counts for

collaborators

Showing 2019 · math.GRShow all

3 papers · 2 filters

math.GR2019

Baer--Suzuki theorem for the $π$ -radical

Nanying Yang, Danila O. Revin, Evgeny P. Vdovin

In the paper we prove (modulo the classification of finite simple groups) an analogue of the famous Baer-Suzuki theorem for the $π$ -radical of a finite group, where $π$ is a set of…

math.GR2019★ 1 cited

The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups

Nanying Yang, Alexey Staroletov

Denote the alternating and symmetric groups of degree $n$ by $A_{n}$ and $S_{n}$ respectively. Consider a permutation $σ \in S_{n}$ all of whose nontrivial cycles are of the same length.…

math.GR2019★ 9 cited

On the nilpotency of the solvable radical of a finite group isospectral to a simple group

Nanying Yang, Mariya A. Grechkoseeva, Andrey V. Vasil'ev

We refer to the set of the orders of elements of a finite group as its spectrum and say that groups are isospectral if their spectra coincide. We prove that with the only specific…

Baer--Suzuki theorem for the π-radical

The minimal polynomials of powers of cycles in the ordinary representations of symmetric and alternating groups

On the nilpotency of the solvable radical of a finite group isospectral to a simple group

Baer--Suzuki theorem for the $π$ -radical