Abelian subgroups of finite $p$-groups
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- by Susan Claire Dancs PDF
- Trans. Amer. Math. Soc. 169 (1972), 489-493 Request permission
Abstract:
Information is obtained about the order of maximal abelian subgroups of central powers and crown products of finite $p$-groups. This is used to construct groups with βsmallβ maximal abelian subgroups.References
- J. L. Alperin, Large Abelian subgroups of $p$-groups, Trans. Amer. Math. Soc. 117 (1965), 10β20. MR 170946, DOI 10.1090/S0002-9947-1965-0170946-4
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- B. H. Neumann, Ascending derived series, Compositio Math. 13 (1956), 47β64. MR 89196
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 169 (1972), 489-493
- MSC: Primary 20D15
- DOI: https://doi.org/10.1090/S0002-9947-1972-0308258-1
- MathSciNet review: 0308258