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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on Janko’s simple group of order $175,560$
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by E. Shult
Proc. Amer. Math. Soc. 35 (1972), 342-348
DOI: https://doi.org/10.1090/S0002-9939-1972-0306303-6

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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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • 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