A note on the splittings of finitely presented Bestvina–Brady groups
Glasgow mathematical journal, Tome 67 (2025) no. 2, pp. 224-227
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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 $H$.
Chang, Yu-Chan. A note on the splittings of finitely presented Bestvina–Brady groups. Glasgow mathematical journal, Tome 67 (2025) no. 2, pp. 224-227. doi: 10.1017/S0017089524000338
@article{10_1017_S0017089524000338,
author = {Chang, Yu-Chan},
title = {A note on the splittings of finitely presented {Bestvina{\textendash}Brady} groups},
journal = {Glasgow mathematical journal},
pages = {224--227},
year = {2025},
volume = {67},
number = {2},
doi = {10.1017/S0017089524000338},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000338/}
}
TY - JOUR AU - Chang, Yu-Chan TI - A note on the splittings of finitely presented Bestvina–Brady groups JO - Glasgow mathematical journal PY - 2025 SP - 224 EP - 227 VL - 67 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000338/ DO - 10.1017/S0017089524000338 ID - 10_1017_S0017089524000338 ER -
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