Algebraic & Geometric Topology Volume 26, issue 7 (2026)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Coxeter quotients of the automorphism group of a Coxeter group

Olga Varghese

Algebraic & Geometric Topology 26 (2026) 2353–2362

DOI: 10.2140/agt.2026.26.2353

Bibliography

1	P Bahls, The isomorphism problem in Coxeter groups, Imperial College Press, London (2005) MR2162146
2	B Bekka, P de la Harpe, A Valette, Kazhdan’s property (T), 11, Cambridge Univ. Press (2008) MR2415834
3	R E Borcherds, Coxeter groups, Lorentzian lattices, and K3 surfaces, Internat. Math. Res. Notices 19 (1998) 1011 MR1654763
4	B Brink, On centralizers of reflections in Coxeter groups, Bull. London Math. Soc. 28 (1996) 465 MR1396145
5	P E Caprace, P Przytycki, Twist-rigid Coxeter groups, Geom. Topol. 14 (2010) 2243 MR2740646
6	R Charney, M Davis, When is a Coxeter system determined by its Coxeter group ?, J. London Math. Soc. (2) 61 (2000) 441 MR1760693
7	D Cooper, D D Long, A W Reid, Infinite Coxeter groups are virtually indicable, Proc. Edinburgh Math. Soc. (2) 41 (1998) 303 MR1626421
8	M W Davis, The geometry and topology of Coxeter groups, 32, Princeton Univ. Press (2008) MR2360474
9	R Diestel, Graph theory, 173, Springer (2005) MR2159259
10	Ś R Gal, On normal subgroups of Coxeter groups generated by standard parabolic subgroups, Geom. Dedicata 115 (2005) 65 MR2180042
11	A Genevois, A Martin, Automorphisms of graph products of groups from a geometric perspective, Proc. Lond. Math. Soc. (3) 119 (2019) 1745 MR4295519
12	R B Howlett, P J Rowley, D E Taylor, On outer automorphism groups of Coxeter groups, Manuscripta Math. 93 (1997) 499 MR1465894
13	M Kaluba, D Kielak, P W Nowak, On property (T) for Aut(F_n) and SL_n(ℤ), Ann. of Math. (2) 193 (2021) 539 MR4224715
14	M Kaluba, P W Nowak, N Ozawa, Aut(𝔽₅) has property (T), Math. Ann. 375 (2019) 1169 MR4023374
15	D A Kazhdan, On the connection of the dual space of a group with the structure of its closed subgroups, Funkcional. Anal. i Priložen. 1 (1967) 71 MR209390
16	N Leder, Serre’s Property FA for automorphism groups of free products, (2019) arXiv:1810.06287
17	M Mihalik, S Tschantz, Visual decompositions of Coxeter groups, Groups Geom. Dyn. 3 (2009) 173 MR2466022
18	M Nitsche, Computer proofs for property (T), and SDP duality, (2020) arXiv:2009.05134
19	K Nuida, On centralizers of parabolic subgroups in Coxeter groups, J. Group Theory 14 (2011) 891 MR2855785
20	R W Richardson, Conjugacy classes of involutions in Coxeter groups, Bull. Austral. Math. Soc. 26 (1982) 1 MR679916