9th Algebra Seminar , 1997-11-18

#### Title : ( Fiber Product, Free presentation and Varietal Capable Groups )

Authors: Saeed Kayvanfar ,

Citation: BibTeX | EndNote

#### Abstract

In [2] (or [3]) we have shown that every group $G$ possesses a uniquely determined subgroup $(V^*)^*(G)$ of the marginal subgroup $V^*(G)$ , which is minimal subject to being the image in $G$ of the marginal subgroup of some $\\cal V$-marginal extension of $G$, where $\\cal V$ is an arbitrary variety of groups defined by the set of laws $V$. In this talk, we answer the question that whether there exists a $\\cal V$-marginal extension of a group $G$ , with respect to the variety $\\cal V$, whose marginal subgroup is mapped onto $(V^*)^*(G)$. Two responses to this question is established in this note.

#### Keywords

, Capable Groups, Free presentation
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@inproceedings{paperid:1013164,
author = {Kayvanfar, Saeed},
title = {Fiber Product, Free presentation and Varietal Capable Groups},
booktitle = {9th Algebra Seminar},
year = {1997},
location = {بابلسر, IRAN},
keywords = {Capable Groups-Free presentation},
}