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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Boolean powers of groups
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by John Lawrence PDF
Proc. Amer. Math. Soc. 82 (1981), 512-516 Request permission

Abstract:

A group is $B$-separating if a Boolean power of the group has a unique Boolean algebra. It is proved that a finite subdirectly irreducible group is $B$-separating if and only if it is non-Abelian.
References
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 82 (1981), 512-516
  • MSC: Primary 06E99; Secondary 08A99, 20E15
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0614869-7
  • MathSciNet review: 614869