Algebraic & Geometric Topology Volume 10, issue 3 (2010)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Fibered orbifolds and crystallographic groups

John G Ratcliffe and Steven T Tschantz

Algebraic & Geometric Topology 10 (2010) 1627–1664

DOI: 10.2140/agt.2010.10.1627

Bibliography

1	M Boileau, S Maillot, J Porti, Three-dimensional orbifolds and their geometric structures, 15, Soc. Math. France (2003) MR2060653
2	F Bonahon, L Siebenmann, The classification of Seifert fibred 3–orbifolds, from: "Low-dimensional topology (Chelwood Gate, 1982)" (editor R Fenn), London Math. Soc. Lecture Note Ser. 95, Cambridge Univ. Press (1985) 19 MR827297
3	H Brown, R Bülow, J Neubüser, H Wondratschek, H Zassenhaus, Crystallographic groups of four-dimensional space, , Wiley-Interscience (1978) MR0484179
4	H Brown, J Neubüser, H Zassenhaus, On integral groups. I. The reducible case, Numer. Math. 19 (1972) 386 MR0318334
5	P E Conner, F Raymond, Injective operations of the toral groups, Topology 10 (1971) 283 MR0281218
6	J H Conway, The orbifold notation for surface groups, from: "Groups, combinatorics & geometry (Durham, 1990)" (editors M Liebeck, J Saxl), London Math. Soc. Lecture Note Ser. 165, Cambridge Univ. Press (1992) 438 MR1200280
7	J H Conway, O Delgado Friedrichs, D H Huson, W P Thurston, On three-dimensional space groups, Beiträge Algebra Geom. 42 (2001) 475 MR1865535
8	W D Dunbar, Geometric orbifolds, Rev. Mat. Univ. Complut. Madrid 1 (1988) 67 MR977042
9	D R Farkas, Crystallographic groups and their mathematics, Rocky Mountain J. Math. 11 (1981) 511 MR639438
10	T Hahn, editor, International tables for crystallography. Vol. A. Space-group symmetry, D. Reidel Publishing Co. (1987) MR942719
11	K B Lee, F Raymond, The role of Seifert fiber spaces in transformation groups, from: "Group actions on manifolds (Boulder, Colo., 1983)" (editor R Schultz), Contemp. Math. 36, Amer. Math. Soc. (1985) 367 MR780974
12	S Mac Lane, Homology, , Springer (1995) MR1344215
13	W Plesken, T Schulz, Counting crystallographic groups in low dimensions, Experiment. Math. 9 (2000) 407 MR1795312
14	J G Ratcliffe, Foundations of hyperbolic manifolds, 149, Springer (2006) MR2249478
15	J G Ratcliffe, S T Tschantz, Abelianization of space groups, Acta Crystallogr. Sect. A 65 (2009) 18 MR2508391
16	D Schattschneider, The plane symmetry groups: their recognition and notation, Amer. Math. Monthly 85 (1978) 439 MR0477980