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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Groups of order $ pq\sp{m}$ with elementary abelian Sylow $ q$-subgroups


Author: J. Alonso
Journal: Proc. Amer. Math. Soc. 65 (1977), 16-18
MSC: Primary 20D20; Secondary 20F15
MathSciNet review: 0486127
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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 [Enhancements On Off] (What's this?)

  • [1] O. Hölder, Die Gruppen der Ordnungen $ {p^3},p{q^2},pqr,{p^4}$, Math. Ann. 43 (1893), 300-412.
  • [2] A. E. Western, On groups of order $ {p^3}q$, Proc. London Math. Soc. 30 (1899), 209-269.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0486127-4
PII: S 0002-9939(1977)0486127-4
Article copyright: © Copyright 1977 American Mathematical Society