This article is cited in 14 papers

Thompson's conjecture for simple groups with connected prime graph

I. B. Gorshkov


Abstract: We deal with finite simple groups $G$ with the property $\pi(G)\subseteq\{2,3,5,7,11,13,17\}$, where $\pi(G)$ is the set of all prime divisors of the order of the group $G$. The set of all such groups is denoted by $\zeta_{17}$. A conjecture of Thompson in [Unsolved Problems in Group Theory, The Kourovka Notebook, 17th edn., Institute of Mathematics SO RAN, Novosibirsk (2010), Question 12.38] is proved valid for all groups with connected prime graph in $\zeta_{17}$.

Keywords: finite simple group, Thompson’s conjecture.

UDC: 512.542

Received: 24.08.2011
Revised: 05.12.2011

 English version: Algebra and Logic, 2012, 51:2, 111–127

Bibliographic databases:

• 
• 
•