On semiabelian p-groups

Danny Neftin

doi:10.1016/j.jalgebra.2011.07.016

On semiabelian p-groups

Danny Neftin

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The family of semiabelian p-groups is the minimal family that contains {1} and is closed under quotients and semidirect products with finite abelian p-groups. Kisilevsky and Sonn have solved the minimal ramification problem for a certain subfamily Gp of the family of semiabelian p-groups We show that Gp is in fact the entire family of semiabelian p-groups and by this complete their solution to all semiabelian p-groups.

Original language	English
Pages (from-to)	60-69
Number of pages	10
Journal	Journal of Algebra
Volume	344
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.07.016
State	Published - 15 Oct 2011

Keywords

Algebraic number theory
Group ranks
Minimal ramification problem
Semiabelian groups
Wreath products

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2011.07.016

Cite this

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KW - Algebraic number theory

KW - Group ranks

KW - Minimal ramification problem

KW - Semiabelian groups

KW - Wreath products

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M3 - مقالة

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JF - Journal of Algebra

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ER -

On semiabelian p-groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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