Automorphisms of prime order of free metabelian groups

Czesław Bagiński; Witold Tomaszewski

doi:10.1081/AGB-120014680

Automorphisms of prime order of free metabelian groups

Czesław Bagiński
, Witold Tomaszewski

Department of Mathematics (RMS/RMS1)

Białystok University of Technology

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

1 Citation (Scopus)

Abstract

Let p be a prime integer and let M_p be a free metabelian group of rank p. In the paper an automorphism α of order p permuting cyclically fixed bases of M_p is studied. The subgroup of fixed points of α and the properties of action of α on the commutator subgroup of M_p are described. There are also given some results concerning such automorphisms of free abelian groups of rank p.

Original language	English
Pages (from-to)	4985-4996
Number of pages	12
Journal	Communications in Algebra
Volume	30
Issue number	10
DOIs	https://doi.org/10.1081/AGB-120014680
Publication status	Published - 1 Oct 2002

ASJC Scopus subject areas

Algebra and Number Theory

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10.1081/AGB-120014680

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title = "Automorphisms of prime order of free metabelian groups",

abstract = "Let p be a prime integer and let Mp be a free metabelian group of rank p. In the paper an automorphism α of order p permuting cyclically fixed bases of Mp is studied. The subgroup of fixed points of α and the properties of action of α on the commutator subgroup of Mp are described. There are also given some results concerning such automorphisms of free abelian groups of rank p.",

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N2 - Let p be a prime integer and let Mp be a free metabelian group of rank p. In the paper an automorphism α of order p permuting cyclically fixed bases of Mp is studied. The subgroup of fixed points of α and the properties of action of α on the commutator subgroup of Mp are described. There are also given some results concerning such automorphisms of free abelian groups of rank p.

AB - Let p be a prime integer and let Mp be a free metabelian group of rank p. In the paper an automorphism α of order p permuting cyclically fixed bases of Mp is studied. The subgroup of fixed points of α and the properties of action of α on the commutator subgroup of Mp are described. There are also given some results concerning such automorphisms of free abelian groups of rank p.

UR - https://www.scopus.com/pages/publications/0036817566

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DO - 10.1081/AGB-120014680

M3 - Article

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Automorphisms of prime order of free metabelian groups

Abstract

ASJC Scopus subject areas

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