Algebraic & Geometric Topology Volume 14, issue 6 (2014)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Commensurated subgroups, semistability and simple connectivity at infinity

Gregory R Conner and Michael L Mihalik

Algebraic & Geometric Topology 14 (2014) 3509–3532

DOI: 10.2140/agt.2014.14.3509

Bibliography

1	A Borel, Density and maximality of arithmetic subgroups, J. Reine Angew. Math. 224 (1966) 78 MR0205999
2	D E Cohen, Groups of cohomological dimension one, Lecture Notes in Mathematics 245, Springer (1972) MR0344359
3	G Conner, M L Mihalik, Commensurated subgroups and ends of groups, J. Group Theory 16 (2013) 107 MR3008315
4	M W Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. 117 (1983) 293 MR690848
5	M J Dunwoody, The accessibility of finitely presented groups, Invent. Math. 81 (1985) 449 MR807066
6	H Freudenthal, Über die Enden topologischer Räume und Gruppen, Math. Z. 33 (1931) 692 MR1545233
7	R Geoghegan, The shape of a group — connections between shape theory and the homology of groups, from: "Geometric and algebraic topology" (editors H Toruńczyk, S Jackowski, S Spież), Banach Center Publ. 18, PWN (1986) 271 MR925870
8	R Geoghegan, Topological methods in group theory, Graduate Texts in Mathematics 243, Springer (2008) MR2365352
9	R Geoghegan, M L Mihalik, Free abelian cohomology of groups and ends of universal covers, J. Pure Appl. Algebra 36 (1985) 123 MR787167
10	H Hopf, Enden offener Räume und unendliche diskontinuierliche Gruppen, Comment. Math. Helv. 16 (1944) 81 MR0010267
11	B Jackson, End invariants of group extensions, Topology 21 (1982) 71 MR630881
12	F E A Johnson, Manifolds of homotopy type $K(\pi,1)$, I, Proc. Cambridge Philos. Soc. 70 (1971) 387 MR0290358
13	F E A Johnson, On the first end invariant of an exact sequence, Mathematika 22 (1975) 60 MR0427483
14	R Lee, F Raymond, Manifolds covered by Euclidean space, Topology 14 (1975) 49 MR0365581
15	V M Lew, The semistability at infinity for multiple extension groups, PhD thesis, Cornell University (1993) MR2689313
16	G A Margulis, Discrete groups of motions of manifolds of nonpositive curvature, from: "Proceedings of the International Congress of Mathematicians, Vol. 2", Canad. Math. Congress (1975) 21 MR0492072
17	M L Mihalik, Semistability at the end of a group extension, Trans. Amer. Math. Soc. 277 (1983) 307 MR690054
18	M L Mihalik, Ends of groups with the integers as quotient, J. Pure Appl. Algebra 35 (1985) 305 MR777262
19	M L Mihalik, Ends of double extension groups, Topology 25 (1986) 45 MR836723
20	M L Mihalik, Semistability at $\infty$ of finitely generated groups, and solvable groups, Topology Appl. 24 (1986) 259 MR872498
21	M L Mihalik, Semistability at $\infty$, $\infty$–ended groups and group cohomology, Trans. Amer. Math. Soc. 303 (1987) 479 MR902779
22	M L Mihalik, Semistability of Artin and Coxeter groups, J. Pure Appl. Algebra 111 (1996) 205 MR1394352
23	M L Mihalik, S T Tschantz, One relator groups are semistable at infinity, Topology 31 (1992) 801 MR1191381
24	M L Mihalik, S T Tschantz, Semistability of amalgamated products and HNN–extensions, Mem. Amer. Math. Soc. 471, Amer. Math. Soc. (1992) 1 MR1110521
25	J S Profio, Using subnormality to show the simple connectivity at infinity of a finitely presented group, Trans. Amer. Math. Soc. 320 (1990) 281 MR961627
26	L C Siebenmann, The obstruction to finding a boundary for an open manifold, PhD thesis, Princeton University (1965)
27	J Stallings, Group theory and three-dimensional manifolds, Yale Mathematical Monographs 4, Yale University Press (1971) MR0415622
28	G A Swarup, On the cut point conjecture, Electron. Res. Announc. Amer. Math. Soc. 2 (1996) 98 MR1412948