Transactions of the American Mathematical Society

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



Abelian subgroups of finite $ p$-groups

Author: Susan Claire Dancs
Journal: Trans. Amer. Math. Soc. 169 (1972), 489-493
MSC: Primary 20D15
MathSciNet review: 0308258
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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 ``small'' maximal abelian subgroups.

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Keywords: Abelian subgroups, finite $ p$-group, central power, crown product
Article copyright: © Copyright 1972 American Mathematical Society