Algebraic & Geometric Topology Volume 18, issue 2 (2018)

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

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

A characterization of quaternionic Kleinian groups in dimension $2$ with complex trace fields

Sungwoon Kim and Joonhyung Kim

Algebraic & Geometric Topology 18 (2018) 957–974

DOI: 10.2140/agt.2018.18.957

Bibliography

1	H Cunha, N Gusevskii, A note on trace fields of complex hyperbolic groups, Groups Geom. Dyn. 8 (2014) 355 MR3231219
2	X Fu, L Li, X Wang, A characterization of Fuchsian groups acting on complex hyperbolic spaces, Czech Math. J. 62 (2012) 517 MR2990191
3	J Genzmer, Trace fields of subgroups of SU(n,1), Acta Math. Vietnam. 39 (2014) 313 MR3259526
4	D Kim, Discreteness criterions of isometric subgroups for quaternionic hyperbolic space, Geom. Dedicata 106 (2004) 51 MR2079834
5	I Kim, J R Parker, Geometry of quaternionic hyperbolic manifolds, Math. Proc. Cambridge Philos. Soc. 135 (2003) 291 MR2006066
6	J Kim, Quaternionic hyperbolic Fuchsian groups, Linear Algebra Appl. 438 (2013) 3610 MR3028599
7	J Kim, S Kim, A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in ℝ, Linear Algebra Appl. 455 (2014) 107 MR3217402
8	S Kim, J Kim, Complex and quaternionic hyperbolic Kleinian groups with real trace fields, J. Lond. Math. Soc. 93 (2016) 101 MR3455784
9	D B McReynolds, Arithmetic lattices in SU(n,1), book in preparation (2006)
10	W D Neumann, A W Reid, Arithmetic of hyperbolic manifolds, from: "Topology ’90" (editors B Apanasov, W D Neumann, A W Reid, L Siebenmann), Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 273 MR1184416