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On the number of conjugacy classes of non-normal subgroups of a group

Posted on:1999-05-24Degree:Ph.DType:Dissertation
University:University of Alberta (Canada)Candidate:La Haye, Roberta LynnFull Text:PDF
GTID:1460390014472890Subject:Mathematics
Abstract/Summary:
et ;If ;The first result mentioned above extends to infinite groups, with the subgroup C being an infinite Prufer p-group, but only when G has finitely many non-normal subgroups. It is shown that an infinite, non-Dedekind group G with only finitely many non-normal subgroups is the direct limit of a sequence of finite, nilpotent groups each having the same conjugacy classes of non-normal subgroups.;An infinite group G with...
Keywords/Search Tags:Non-normal subgroups, Infinite
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