Finite -Group with Small Abelian Subgroups

Yuemei Mao and Qianlu Li

Journal of Mathematics, 2013, vol. 2013, 1-4

Abstract:

A finite -group is said to have the property , if, for any abelian subgroup of , there is . We show that if satisfies , then has the following two types: (1) is isoclinic to some stem groups of order , which form an isoclinic family. (2) is isoclinic to a special -group of exponent . Elementary structures of groups with are determined.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:490524

DOI: 10.1155/2013/490524

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