Keywords
- Finite Group
- Word Problem
- Coxeter Group
- Cyclic Permutation
- Finite Index
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
K.I. Appel, ‘On Artin and Coxeter groups of large type', Contemporary Mathematics 33 (Amer. Math. Soc., Providence, 1984), 50–78.
K.I. Appel and P.E. Schupp, ‘Artin groups and infinite Coxeter groups', Invent. Math., 72(1983), 201–220.
R. Brown and J. Huebschmann, ‘Identities among relations’ in: Low Dimensional Topology, edited by R. Brown and T.L. Thickstun, LMS Lecture Note Series 48, CUP, 1982.
N. Bourbaki, ‘Groupes et Algègres de Lie, Chapitre 4, 5 et 6', Actu. Sci. Ind. no 1337, Herman, Paris, 1968.
I.M. Chiswell, D.J. Collins and J. Huebschmann, ‘Aspherical group presentations', Math. Z., 178(1981), 1–36.
D.J. Collins and J. Huebschmann, ‘Spherical diagrams and identities among relations', Math. Ann., 261(1982), 155–183.
M.W. Davis, ‘Groups generated by reflections and aspherical manifolds not covered by Euclidean space', Ann. Math., 117(1983), 293–324.
M.S. El-Mosalamy and S.J. Pride, ‘On T(6)-groups', Math. Proc. Camb. Phil. Soc., 102(1987) 443–451.
W. Fluch, ‘A generalized Higman group', Nederl. Acad. Wetensch. Indag. Math., 44(1982), 153–156.
S.M. Gersten, ‘Reducible diagrams and equations over groups’ in: Essays in Group Theory, edited by S.M. Gersten, Springer-Verlag, 1987.
M. Gromov, ‘Hyperbolic groups’ in: Essays in Group Theory, edited by S.M. Gersten, Springer-Verlag, 1987.
D.L. Johnson, Topics in the Theory of Group Presentations, Cambridge University Press, Cambridge, 1980.
D.L. Johnson and E.F. Robertson, ‘Finite groups of deficiency zero’ in: Homological Group Theory, edited by C.T.C. Wall, Cambridge University Press, Cambridge, 1979.
D.L. Johnson, J.W. Wamsley and D. Wright, ‘The Fibonacci groups', Proc. London Math. Soc., 20(1974), 577–592.
F.S. Levin, ‘Solutions of equations over groups', Bull. Amer. Math. Soc., 68(1962), 603–604.
R.C. Lyndon and P.E. Schupp, Combinatorial Group Theory, Springer-Verlag, Berlin, 1977.
J. McCool and P.E. Schupp, ‘On one-relator groups and HNN-extensions', J. Austral. Math. Soc., 16(1973), 249–256.
S. Meskin, ‘Non-residually finite one-relator groups', Trans. Amer. Math. Soc., 164(1972), 105–114.
C.F. Miller III, On Group-Theoretic Decision Problems and their Classification. Princeton University Press, Princeton, 1971.
M.J. Post, ‘Finite three-generator groups with zero deficiency', Comm. Algebra, 6(1978), 1289–1296.
S.J. Pride, ‘On Tits' conjecture and other questions concerning Artin and generalized Artin groups', Invent. Math., 86(1986), 347–356.
S.J. Pride, ‘Groups with presentations in which each defining relator involves exactly two generators', J. London Math. Soc. (2), 36(1987), 245–256.
S.J. Pride, ‘Star-complexes, and the dependence problems for hyperbolic complexes', Glasgow Math. J., 30(1988), 155–170.
S.J. Pride, ‘The diagrammatic asphericity of groups given by presentations in which each defining relator involves exactly two types of generators', Arch. Math., 50(1988), 570–574.
S.J. Pride, ‘Involutary presentations, with applications to Coxeter groups, NEC-groups and groups of Kanevskii', J. Algebra, to appear.
S.J. Pride and R. Stőhr, ‘The (co)homology of aspherical Coxeter groups', preprint.
P.E. Schupp, ‘A survey of small cancellation theory', in: Word Problems, North-Holland, 1973.
M. Suzuki, Group Theory I, Springer-Verlag, Berlin, 1982.
C.T.C. Wall (ed), Homological Group Theory, Cambridge University Press, Cambridge, 1979.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Pride, S.J. (1989). Some problems in combinatorial group theory. In: Kim, A.C., Neumann, B.H. (eds) Groups — Korea 1988. Lecture Notes in Mathematics, vol 1398. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086251
Download citation
DOI: https://doi.org/10.1007/BFb0086251
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51695-8
Online ISBN: 978-3-540-46756-4
eBook Packages: Springer Book Archive
