On Finite Groups with Given Conjugate Types I
- 1 October 1953
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 6, 17-28
- https://doi.org/10.1017/s0027763000016937
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 ).Keywords
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