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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Metabelian $p$-groups of maximal class
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by R. J. Miech PDF
Trans. Amer. Math. Soc. 152 (1970), 331-373 Request permission

Abstract:

This paper deals with the classification of the metabelian $p$-groups of maximal class and order ${p^n}$ where $p$ is odd and, roughly, $n \geqq 2p$.
References
  • N. Blackburn, On a special class of $p$-groups, Acta Math. 100 (1958), 45–92. MR 102558, DOI 10.1007/BF02559602
  • B. Huppert, Endliche Gruppen. I, Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703
    • C. Jordan, Calculus of finite differences, Hungarian Agent Eggenberger Book-Shop, Budapest, 1939. MR 1, 74.
  • G. Szekeres, On finite metabelian $p$-groups with two generators, Acta Sci. Math. (Szeged) 21 (1960), 270–291. MR 132094
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 152 (1970), 331-373
  • MSC: Primary 20.40
  • DOI: https://doi.org/10.1090/S0002-9947-1970-0276343-7
  • MathSciNet review: 0276343