Groups of order $pq^{m}$ with elementary abelian Sylow $q$-subgroups
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- by J. Alonso
- Proc. Amer. Math. Soc. 65 (1977), 16-18
- DOI: https://doi.org/10.1090/S0002-9939-1977-0486127-4
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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
- 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.
Bibliographic 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