Finite P-groups With A Unique A₂-subgroup

Posted on:2018-06-11

Degree:Master

Type:Thesis

Country:China

Candidate:D D Zhang

Full Text:PDF

GTID:2310330518992254

Subject:Basic mathematics

Abstract/Summary:

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Suppose that G is a finite p-group.If all subgroups of index pt of G are abelian and at least one subgroup of index pt-1 of G is not abelian,then G is called an At-group.In this paper,finite p-groups with a unique A2-subgroup are completely classified up to isomorphism.

Keywords/Search Tags:

finite p-groups, A_t-groups, A2-subgroups, cyclic extension

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Finite P-groups With A Unique A2-subgroup

Finite P-groups With A Unique A₂-subgroup