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On Thompson’s Conjecture for Finite Simple Exceptional Groups of Lie Type
- Source :
- Journal of Mathematical Sciences. 247:565-570
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- Let $G$ be a finite group, $N(G)$ be the set of conjugacy classes of the group $G$. In the present paper it is proved $G\simeq L$ if $N(G)=N(L)$, where $G$ is a finite group with trivial center and $L$ is a finite simple group of exceptional Lie type or Tits group.
- Subjects :
- Statistics and Probability
Finite group
Conjecture
Applied Mathematics
General Mathematics
010102 general mathematics
Group Theory (math.GR)
Center (group theory)
Type (model theory)
01 natural sciences
010305 fluids & plasmas
Combinatorics
Set (abstract data type)
Conjugacy class
Simple (abstract algebra)
Simple group
0103 physical sciences
FOS: Mathematics
0101 mathematics
Mathematics - Group Theory
Mathematics
Subjects
Details
- ISSN :
- 15738795 and 10723374
- Volume :
- 247
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi.dedup.....f979f5bf83f68e9d43633eab34406a13
- Full Text :
- https://doi.org/10.1007/s10958-020-04820-2