Timothy C. Burness
On the prime graph of simple groups
Burness, Timothy C.; Covato, Elisa
Authors
Elisa Covato
Abstract
Let G be a finite group, let π(G) be the set of prime divisors of jGj and let Γ(G) be the prime graph of G. This graph has vertex set π(G), and two vertices r and s are adjacent if and only if G contains an element of order rs. Many properties of these graphs have been studied in recent years, with a particular focus on the prime graphs of finite simple groups. In this note, we determine the pairs (G; H), where G is simple and H is a proper subgroup of G such that Γ(G) = Γ(H).
Citation
Burness, T. C., & Covato, E. (2015). On the prime graph of simple groups. Bulletin of the Australian Mathematical Society, 91(2), 227-240. https://doi.org/10.1017/S0004972714000707
Journal Article Type | Article |
---|---|
Online Publication Date | Oct 8, 2014 |
Publication Date | Apr 26, 2015 |
Deposit Date | Apr 25, 2024 |
Journal | Bulletin of the Australian Mathematical Society |
Print ISSN | 0004-9727 |
Electronic ISSN | 1755-1633 |
Publisher | Cambridge University Press (CUP) |
Peer Reviewed | Peer Reviewed |
Volume | 91 |
Issue | 2 |
Pages | 227-240 |
DOI | https://doi.org/10.1017/S0004972714000707 |
Public URL | https://uwe-repository.worktribe.com/output/11915345 |
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