A note on a class of factorized $p$-groups

Title:

A note on a class of factorized $p$-groups

Creator:

Jabara, Enrico

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ed7e8110-6da4-44a0-9b26-57e847d9bca0
uuid:ed7e8110-6da4-44a0-9b26-57e847d9bca0

Subject:

factorizable groups, products of subgroups, and $p$-groups

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this note we study finite $p$-groups $G=AB$ admitting a factorization by an Abelian subgroup $A$ and a subgroup $B$. As a consequence of our results we prove that if $B$ contains an Abelian subgroup of index $p^{n-1}$ then $G$ has derived length at most $2n$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

993-996

Source:

Czechoslovak Mathematical Journal | 2005 Volume:55 | Number:4

Harvested from:

CDK

Metadata only:

false