Abstract
Let G be a finite group. Let n1, n2,…, nr, where n1>n2>… > nr = 1, be all the numbers each of which is the index of the centralizer of some element of G in G. We call the vector (n1, n2,…, nr) the conjugate type vector of G. A group with the conjugate type vector (n1, n2,…, nr) is said to be a group of type (n1, n2,…, nr).
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. Über die Erweiterung von Gruppen. II
2. (1) p-Sylowgrouppen und p-Faktorgruppen;Wielandt;J. reine angew. Math,1940
3. (1) Lehrbuch der Gruppentheorie, Bd. 1. Leipzig u Berlin;Zassenhaus,1937
4. Über endliche Fastkörper
5. Groups in which the normaliser of every element except identity is abelian
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