On the Validity of Thompson's Conjecture for Finite Simple Groups
- Resource Type
- Authors
- Neda Ahanjideh; Milad Ahanjideh
- Source
- Communications in Algebra. 41:4116-4145
- Subject
- Combinatorics
Discrete mathematics
Set (abstract data type)
Finite group
Algebra and Number Theory
Property (philosophy)
Conjugacy class
Conjecture
Simple group
Classification of finite simple groups
Mathematics
- Language
- ISSN
- 1532-4125
0092-7872
In this article, we prove a conjecture of J. G. Thompson for the finite simple group 2 D n (q). More precisely, we show that every finite group G with the property Z(G) = 1 and N(G) = N(2 D n (q)) is necessarily isomorphic to 2 D n (q). Note that N(G) is the set of lengths of conjugacy classes of G.