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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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Groups of order $pq^{m}$ with elementary abelian Sylow $q$-subgroups
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by J. Alonso PDF
Proc. Amer. Math. Soc. 65 (1977), 16-18 Request permission

Abstract:

Characterization and number of the groups of order $p{q^m}$ with elementary Abelian Sylow q-subgroups. Old methods of O. Hölder and A. E. Western are simplified and generalized.
References
    O. Hölder, Die Gruppen der Ordnungen ${p^3},p{q^2},pqr,{p^4}$, Math. Ann. 43 (1893), 300-412. A. E. Western, On groups of order ${p^3}q$, Proc. London Math. Soc. 30 (1899), 209-269.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 65 (1977), 16-18
  • MSC: Primary 20D20; Secondary 20F15
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0486127-4
  • MathSciNet review: 0486127