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On a new finite non–abelian simple group of Janko

Published online by Cambridge University Press:  17 April 2009

S. K. Wong
S. K. Wong
Affiliation:
Monash University, Clayton, Victoria.
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Abstract

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Two new simple groups have recently been discovered by Z. Janko. One of these groups has order 50,232,960. As a first step in showing that there is precisely one (up to isomorphism) simple group of order 50,232,960, the author proves in this paper the following result: If G is a non-abelian simple group of order 50,232,960, then the structure of the centralizer of an element of order two in G is uniquely determined.

In a note added on 21 April 1969 to this paper, the author announces that he has proved the uniqueness of the simple group of order 50,232,960.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 1 , April 1969 , pp. 59 - 79
Copyright
Copyright © Australian Mathematical Society 1969

References

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