2k citations
- University of SurreyGB30 papers
- Hunan UniversityCN15 papers
- Nanjing University of Science and TechnologyCN8 papers
- Tsinghua UniversityCN8 papers
- Florida Institute of TechnologyUS7 papers
- Beihang UniversityCN6 papers
- Southeast UniversityCN6 papers
- Xidian UniversityCN6 papers
- Chinese Academy of SciencesCN5 papers
- Hong Kong Polytechnic UniversityHK5 papers
- Nanyang Technological UniversitySG5 papers
- University of KentGB5 papers
7 papers · 1 filter
On recognition of direct powers of finite simple linear groups by spectrum
N. Yang, I. B. Gorshkov, A. M. Staroletov +1
The spectrum of a finite group is the set of its element orders. We give an affirmative answer to Problem 20.58(a) from the Kourovka Notebook proving that for every positive intege…
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=…
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…