CONFIGURATION OF NILPOTENT GROUPS AND ISOMORPHISM-Reference-Cited by-同舟云学术

CONFIGURATION OF NILPOTENT GROUPS AND ISOMORPHISM

Published:2009-06 Issue:03 Volume:08 Page:339-350
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ABDOLLAHI A.¹²,REJALI A.¹,YOUSOFZADEH A.¹

Affiliation:

1. Department of Mathematics, University of Isfahan, Isfahan 81744-73441, Iran

2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran

Abstract

The concept of configuration was first introduced by Rosenblatt and Willis to give a condition for amenability of groups. We show that if G1 and G2 have the same configuration sets and H1 is a normal subgroup of G1 with abelian quotient, then there is a normal subgroup H2 of G2 such that [Formula: see text]. Also configuration of FC-groups and isomorphism is studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498809003333

Reference9 articles.

1. Group properties characterised by configurations

2. Weak Convergence Is Not Strong Convergence For Amenable Groups

3. Polycyclic Groups

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