Electronic Research Announcements

Author(s): Daniel T. Wise
Journal: Electron. Res. Announc. Amer. Math. Soc. 9 (2003), 1-9.
MSC (2000): Primary 20F05, 20F67, 57M07, 57M20
Posted: January 10, 2003
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Abstract: This announcement describes research concerning local quasiconvexity, coherence, compact cores, and local indicability for fundamental groups of certain

-complexes.

1.: W. Ballmann and S. Buyalo.
Nonpositively curved metrics on -polyhedra.
Math. Z., 222(1):97-134, 1996. MR 97c:53063
2.: Gilbert Baumslag.
Some problems on one-relator groups.
In Proceedings of the Second International Conference on the Theory of Groups (Australian Nat. Univ., Canberra, 1973), volume 372 of Lecture Notes in Math., pages 75-81. Springer, Berlin, 1974. MR 51:717
3.: Martin R. Bridson and André Haefliger.
Metric spaces of non-positive curvature.
Springer-Verlag, Berlin, 1999. MR 2000k:53038
4.: S. D. Brodski ${\u{\i}}\kern.15em$ .
Equations over groups and groups with one defining relation.
Uspekhi Mat. Nauk, 35(4(214)):183, 1980. MR 82a:20041
5.: S. D. Brodski ${\u{\i}}\kern.15em$ .
Equations over groups, and groups with one defining relation.
Sibirsk. Mat. Zh., 25(2):84-103, 1984. MR 86e:20026
6.: R. G. Burns and V. W. D. Hale.
A note on group rings of certain torsion-free groups.
Canad. Math. Bull., 15:441-445, 1972. MR 46:9149
7.: J. M. Corson and B. Trace.
Diagrammatically reducible complexes and Haken manifolds.
J. Austral. Math. Soc. Ser. A, 69(1):116-126, 2000. MR 2001f:57005
8.: Warren Dicks.
Equivalence of the strengthened Hanna Neumann conjecture and the amalgamated graph conjecture.
Invent. Math., 117(3):373-389, 1994. MR 95c:20034
9.: D. B. A. Epstein and R. C. Penner.
Euclidean decompositions of noncompact hyperbolic manifolds.
J. Differential Geom., 27(1):67-80, 1988. MR 89a:57020
10.: Mark Feighn and Michael Handel.
Mapping tori of free group automorphisms are coherent.
Ann. of Math. (2), 149(3):1061-1077, 1999. MR 2000i:20050
11.: J. Fischer, A. Karrass, and D. Solitar.
On one-relator groups having elements of finite order.
Proc. Amer. Math. Soc., 33:297-301, 1972. MR 47:342
12.: S. M. Gersten.
Reducible diagrams and equations over groups.
In Essays in group theory, pages 15-73. Springer, New York-Berlin, 1987. MR 89d:20030
13.: James Howie.
On pairs of -complexes and systems of equations over groups.
J. Reine Angew. Math., 324:165-174, 1981. MR 82g:20060
14.: James Howie.
On locally indicable groups.
Math. Z., 180(4):445-461, 1982. MR 84b:20036
15.: James Howie.
How to generalize one-relator group theory.
In S. M. Gersten and John R. Stallings, editors, Combinatorial group theory and topology, pages 53-78, Princeton, N.J., 1987. Princeton Univ. Press. MR 88j:20027
16.: Johannes Huebschmann.
Aspherical -complexes and an unsettled problem of J. H. C. Whitehead.
Math. Ann., 258(1):17-37, 1981/82. MR 83e:57004
17.: Roger C. Lyndon and Paul E. Schupp.
Combinatorial group theory.
Springer-Verlag, Berlin, 1977.
Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89. MR 58:28182
18.: Wilhelm Magnus.
Über diskontinuierliche Gruppen mit einer definierenden Relation (Der Freiheitssatz).
J. Reine Angew. Math., 163:141-165, 1930.
19.: Wilhelm Magnus.
Das Identitätsproblem für Gruppen mit einer definierenden Relation.
Math. Ann., 106:295-307, 1932.
20.: Jonathan P. McCammond and Daniel T. Wise.
Coherence, local quasiconvexity and the perimeter of -complexes.
Preprint, 1999.
21.: Jonathan P. McCammond and Daniel T. Wise.
Fans and ladders in small cancellation theory.
Proc. London Math. Soc. (3), 84(3):599-644, 2002.
22.: Walter D. Neumann.
On intersections of finitely generated subgroups of free groups.
In Groups--Canberra 1989, pages 161-170. Springer, Berlin, 1990. MR 92b:20026
23.: C. D. Papakyriakopoulos.
On Dehn's lemma and the asphericity of knots.
Ann. of Math. (2), 66:1-26, 1957. MR 19:761a
24.: Frédéric Paulin.
Constructions of hyperbolic groups via hyperbolizations of polyhedra.
In Group theory from a geometrical viewpoint (Trieste, 1990), pages 313-372. World Sci. Publishing, River Edge, NJ, 1991. MR 93d:57005
25.: Stephen J. Pride.
Star-complexes, and the dependence problems for hyperbolic complexes.
Glasgow Math. J., 30(2):155-170, 1988. MR 89k:20049
26.: E. Rips.
Subgroups of small cancellation groups.
Bull. London Math. Soc., 14(1):45-47, 1982. MR 83c:20049
27.: G. P. Scott.
Finitely generated -manifold groups are finitely presented.
J. London Math. Soc. (2), 6:437-440, 1973. MR 52:1660
28.: Allan J. Sieradski.
A coloring test for asphericity.
Quart. J. Math. Oxford Ser. (2), 34(133):97-106, 1983. MR 84g:57004
29.: John R. Stallings.
Adian groups and pregroups.
In Essays in group theory, pages 321-342. Springer, New York, 1987. MR 88m:20075
30.: Daniel T. Wise.
Coherence, local indicability, and non-positive immersions.
Preprint 2002.
31.: Daniel T. Wise.
Positive one-relator groups are coherent.
Preprint 2002.
32.: Daniel T. Wise.
Sectional curvature and local quasiconvexity.
Preprint 2002.
33.: Daniel T. Wise.
Incoherent negatively curved groups.
Proc. Amer. Math. Soc., 126(4):957-964, 1998. MR 98f:20016
34.: Daniel T. Wise.
A covering space with no compact core.
Geom. Ded., 92(1):59-62, 2002.

Retrieve articles in Electronic Research Announcements with MSC (2000): 20F05, 20F67, 57M07, 57M20

Daniel T. Wise
Affiliation: Department of Mathematics, McGill University, Montreal, Quebec, CA H3A 2K6, Canada
Email: wise@math.mcgill.ca

DOI: 10.1090/S1079-6762-03-00105-7
PII: S 1079-6762(03)00105-7
Keywords: Coherent groups, nonpositive curvature, one-relator groups
Received by editor(s): October 21, 2002
Posted: January 10, 2003
Additional Notes: Research supported by grants from FCAR and NSERC
Communicated by: Walter Neumann
Copyright of article: Copyright 2003, American Mathematical Society

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