308 citations
- University of Chinese Academy of SciencesCN17 papers
- Chinese Academy of SciencesCN15 papers
- Nanjing University of Science and TechnologyCN14 papers
- Hunan Normal UniversityCN13 papers
- Beijing Computational Science Research CenterCN12 papers
- Shanghai Jiao Tong UniversityCN10 papers
- University of KentGB10 papers
- Huazhong University of Science and TechnologyCN8 papers
- Nanjing UniversityCN8 papers
- National Astronomical ObservatoriesCN8 papers
- Northeast Normal UniversityCN8 papers
- Sobolev Institute of MathematicsRU8 papers
8 papers · 1 filter
On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups
Tao Li, A. R. Moghaddamfar, Andrey V. Vasil'ev +1
The spectrum of a group is the set of orders of its elements. Finite groups with the same spectra as the direct squares of the finite simple groups with abelian Sylow 2-subgroups a…
On -index extremal groups
Andrey V. Vasil'ev, Ilya B. Gorshkov
The question on connection between the structure of a finite group and the properties of the indices of elements of has been a popular research topic for many years. The $p…
On embedding theorems for -subgroups
Wenbin Guo, Danila O. Revin, Andrey V. Vasil'ev
Let be a class of finite groups closed under subgroups, homomorphic images, and extensions. We study the question which goes back to the lectures of H. Wielandt in 1…
Criterion of nonsolvability of a finite group and recognition of direct squares of simple groups
Zh. Wang, A. V. Vasil'ev, M. A. Grechkoseeva +1
The spectrum of a finite group is the set of orders of its elements. The following sufficient criterion of nonsolvability is proved: if among the prime divisors of the o…
On Cayley representations of central Cayley graphs over almost simple groups
Jin Guo, Wenbin Guo, Grigory Ryabov +1
A Cayley graph over a group is said to be central if its connection set is a normal subset of . We prove that every central Cayley graph over a simple group has at most…
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…