Group satisfying Hughes conjecture

From Groupprops
Revision as of 23:39, 7 May 2008 by Vipul (talk | contribs) (1 revision)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
The article defines a property of groups, where the definition may be in terms of a particular prime that serves as parameter
View other prime-parametrized group properties | View other group properties

Definition

A finite group is said to satisfy Hughes conjecture for a prime p, if the p-Hughes subgroup is either trivial, or the whole group, or has index exactly p.