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Chunikhin's existence theorem for subgroups of a finite group

Published online by Cambridge University Press:  17 April 2009

C.D.H. Cooper
C.D.H. Cooper
Affiliation:
School of Mathematics, Macquarie University, North Ryde, NSW.
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Abstract

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We give a simplified proof of a general theorem of Chunikhin on existence of subgroups of a finite group. The proof avoids the technical device of “indexials” which Chunikhin set up for this purpose.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 3 , June 1971 , pp. 397 - 406
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Chunikhin, S.A., Subgroups of finite groups (Translated from the Russian and edited by Rowlinson, Elizabeth. Wolters-Noordhoff, Groningen, 1969).Google Scholar
[2]Čunihin, S.A., “A general test for the existence of subgroups in finite groups” (Russian), Mat. Sb. (N.S.) 55 (97) (1961), 101–124. English translation, Amer. Math. Soc. Transl. (2) 45 (1965), 79–104.Google Scholar
[3]Gorenstein, Daniel, Finite groups (Harper and Row, New York, Evanston, London, 1968).Google Scholar
[4]Hall, Marshall Jr, The theory of groups (The Macmillan Company, New York, 1959).Google Scholar