In 1987, Droms [15] proved that all the subgroups of a right-angled Artin group (RAAG) defined by a finite simple graph Γ are themselves RAAGs if, and only if, Γ has no induced squares nor lines of length 3. The present work provides a similar result for specific normal subgroups of RAAGs, called Bestvina-Brady groups: We characterize those finite graphs in which every subgroup of such a group is itself a RAAG. In turn, we confirm several Galois theoretic conjectures for the pro-p analogues of these groups, and study their associated graded Lie algebras.
Blumer, S. (2025). Subgroups of Bestvina-Brady groups. JOURNAL OF PURE AND APPLIED ALGEBRA, 229(10) [10.1016/j.jpaa.2025.108080].
Subgroups of Bestvina-Brady groups
Blumer, S.
Primo
2025
Abstract
In 1987, Droms [15] proved that all the subgroups of a right-angled Artin group (RAAG) defined by a finite simple graph Γ are themselves RAAGs if, and only if, Γ has no induced squares nor lines of length 3. The present work provides a similar result for specific normal subgroups of RAAGs, called Bestvina-Brady groups: We characterize those finite graphs in which every subgroup of such a group is itself a RAAG. In turn, we confirm several Galois theoretic conjectures for the pro-p analogues of these groups, and study their associated graded Lie algebras.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Blumer-2025-Journal of Pure and Applied Algebra-VoR.pdf
accesso aperto
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Licenza:
Creative Commons
Dimensione
1.25 MB
Formato
Adobe PDF
|
1.25 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
