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On Finite Groups with Given Conjugate Types I

Published online by Cambridge University Press:  22 January 2016

Noboru Itô
Noboru Itô*
Affiliation:
Mathematical Institute, Nagoya University
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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).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 6 , October 1953 , pp. 17 - 28
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1953

References

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