A note on Janko's simple group of order
Author:
E. Shult
Journal:
Proc. Amer. Math. Soc. 35 (1972), 342-348
MSC:
Primary 20D05
DOI:
https://doi.org/10.1090/S0002-9939-1972-0306303-6
MathSciNet review:
0306303
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Abstract | References | Similar Articles | Additional Information
Abstract: Janko's simple group J of order 175,560 is characterized among simple groups by the weak closure W of the involution in its centralizer. Among arbitrary finite groups, the theorem asserts that the normal closure of W is J.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0306303-6
Keywords:
Finite sporadic simple group,
weak closure of an involution in its centraliser
Article copyright:
© Copyright 1972
American Mathematical Society