Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 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
Nonuniform lattices of large systole containing a fixed $3$-manifold group

Paige Hillen

Algebraic & Geometric Topology 25 (2025) 3089–3102
Bibliography
1 M Belolipetsky, On 2-systoles of hyperbolic 3-manifolds, Geom. Funct. Anal. 23 (2013) 813 MR3061772
2 M Belolipetsky, C Dória, Free subgroups of 3-manifold groups, Groups Geom. Dyn. 14 (2020) 243 MR4080917
3 Y Bilu, G Hanrot, P M Voutier, Existence of primitive divisors of Lucas and Lehmer numbers, J. Reine Angew. Math. 539 (2001) 75 MR1863855
4 R D Canary, Anosov representations: informal lecture notes, (2021)
5 R D Carmichael, On the numerical factors of the arithmetic forms αn ± βn, Ann. of Math. 15 (1913) 30 MR1502458
6 D Cooper, D D Long, A W Reid, On the virtual Betti numbers of arithmetic hyperbolic 3-manifolds, Geom. Topol. 11 (2007) 2265 MR2372848
7 D Cooper, D Long, M Thistlethwaite, Computing varieties of representations of hyperbolic 3-manifolds into SL(4, ), Exp. Math. 15 (2006) 291 MR2264468
8 D Cooper, D D Long, M B Thistlethwaite, Flexing closed hyperbolic manifolds, Geom. Topol. 11 (2007) 2413 MR2372851
9 D Cooper, D D Long, M Thistlethwaite, Constructing non-congruence subgroups of flexible hyperbolic 3-manifold groups, Proc. Amer. Math. Soc. 137 (2009) 3943 MR2529905
10 P Hillen, vol3 in lattices Mathematica file, software (2024)
11 F Kassel, Geometric structures and representations of discrete groups, from: "Proceedings of the International Congress of Mathematicians, II", World Sci. (2018) 1133 MR3966802
12 W Landherr, Äquivalenz Hermitescher Formen über einem beliebigen algebraischen Zahlkörper, Abh. Math. Sem. Univ. Hamburg 11 (1935) 245 MR3069658
13 S Lapan, B Linowitz, J S Meyer, Systole inequalities up congruence towers for arithmetic locally symmetric spaces, Comm. Anal. Geom. 31 (2023) 847 MR4775036
14 D W Lewis, The isometry classification of Hermitian forms over division algebras, Linear Algebra Appl. 43 (1982) 245 MR656449
15 D D Long, A W Reid, Sequences of high rank lattices with large systole containing a fixed genus surface group, New York J. Math. 25 (2019) 145 MR3904881
16 D W Morris, Introduction to arithmetic groups, Deductive Press (2015) MR3307755