Finite Nilpotent Groups In Which The Number Of Conjugacy Classes Of Non-Cyclic Subgroups Is 8 Or 9

Posted on:2018-07-31

Degree:Master

Type:Thesis

Country:China

Candidate:F Z G Huang

Full Text:PDF

GTID:2310330533957554

Subject:mathematics

Abstract/Summary:

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Let G be a finite group. The number of conjugacy classes of non-cyclic subgroups of G is denoted by ?(G). The classification of finite nilpotent groups with ?(G) = 8 and?(G) = 9 is given in this paper, respectively.

Keywords/Search Tags:

finite nilpotent group, finite p-group, non-cyclic subgroup, Sylow subgroup, maximal subgroup

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