$(C\)-Width of Graph of Groups$

(C\)-Width of Graph of Groups

In this paper, we study the $C$-width of HNN extension of a group via its proper isomorphic subgroups and amalgamated free product of two groups via their proper isomorphic subgroups with respect to conjugation invariant generating set. We will also establish that infinite one relator group has in...

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Veröffentlicht in:	arXiv.org 2024-03
1. Verfasser:	Singh, Shrinit
Format:	Artikel
Sprache:	eng
Schlagworte:	Conjugation Subgroups
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we study the $C$-width of HNN extension of a group via its proper isomorphic subgroups and amalgamated free product of two groups via their proper isomorphic subgroups with respect to conjugation invariant generating set. We will also establish that infinite one relator group has infinite $C$-width.
ISSN:	2331-8422

Zusammenfassung:	In this paper, we study the \(C\)-width of HNN extension of a group via its proper isomorphic subgroups and amalgamated free product of two groups via their proper isomorphic subgroups with respect to conjugation invariant generating set. We will also establish that infinite one relator group has infinite \(C\)-width.
ISSN:	2331-8422