A note on the splittings of finitely presented Bestvina–Brady groups

Abstract We show that when a finitely presented Bestvina–Brady group splits as an amalgamated product over a subgroup $H$ , its defining graph contains an induced separating subgraph whose associated Bestvina–Brady group is contained in a conjugate of $H$ .

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Publication Details

Journal
Glasgow Mathematical Journal
Published
2024-12-19
DOI
https://doi.org/10.1017/s0017089524000338
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

A note on the splittings of finitely presented Bestvina–Brady groups

Yu-Chan Chang
Glasgow Mathematical Journal
Finite Group Theory Research
article

A note on the splittings of finitely presented Bestvina–Brady groups

Yu-Chan Chang
article en

Abstract

Abstract We show that when a finitely presented Bestvina–Brady group splits as an amalgamated product over a subgroup $H$ , its defining graph contains an induced separating subgraph whose associated Bestvina–Brady group is contained in a conjugate of $H$ .

Glasgow Mathematical JournalVol. 67(2)
Wesleyan University (US)
Openalex Percentile: Top 58%
Finite Group Theory Research
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A note on the splittings of finitely presented Bestvina–Brady groups — Yu-Chan Chang · Glasgow Mathematical Journal (2024) | TGRS Research Map | TGRS