15 citations · 34 across the 10 of their papers we have counts for
10 papers
On the sharp Baer--Suzuki theorem for -radicals: sporadic groups
Nanying Yang, Zhenfeng Wu, Danila O. Revin
Let be a proper subset of the set of all primes. Denote by the smallest prime which does not belong to and set if or and if $r \geqslant 5…
Finite groups isospectral to simple groups
Maria A. Grechkoseeva, Victor D. Mazurov, Wujie Shi +2
The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectr…
On the sharp Baer--Suzuki theorem for the -radical
Nanying Yang, Zhenfeng Wu, Danila O. Revin +1
Let be a set of primes such that and differs from the set of all primes. Denote by the smallest prime which does not belong to and set if $r=…
Baer--Suzuki theorem for the -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 -radical of a finite group, where is a set of…
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 by and respectively. Consider a permutation all of whose nontrivial cycles are of the same length.…
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…