


PDFs of some
of
Chuck Miller's
Papers and
Notes

The word problem in quotients of a group
Miller, C. F.
The word problem in quotients of a group,
in Aspects of Effective Algebra, ed. J.N. Crossley,
Proceedings of a conference at Monash University, August 1979,
Upside Down A Book Company, Steel's Creek, (1981), 246250.
This paper was redone in TeX by the author with minimal alterations.
See the postscript near the end concerning its history.
Some
odd finitely presented groups
Baumslag, G and Miller, C. F., Some odd
finitely presented groups, Bulletin of the London Math. Soc.
20 (1988), 239244.
Decision
problems for groups: survey and reflections
Miller, C. F., Decision problems for groups:
survey and reflections, in Algorithms and Classification
in Combinatorial Group Theory (eds. G Baumslag and C. F. Miller
III), MSRI Publications No. 23, SpringerVerlag (1992),
159.
Strongly
torsion generated groups
Berrick, A. J. and Miller, C. F., Strongly
torsion generated groups, Math. Proc. Camb. Phil. Soc. 111
(1992), 219229.
Isoperimetric
inequalities and the homology of groups
Baumslag, G , Miller, C. F. and Short, H.,
Isoperimetric inequalities and the homology of groups,
Invent. Math. 113 (1993), 531560.
Unsolvable
problems about small cancellation and word hyperbolic groups
Baumslag, G , Miller, C. F. and Short, H.,
Unsolvable problems about small cancellation and word hyperbolic
groups, Bulletin of the London Math. Soc. 26 (1994),
97101.
Finitely
presented subgroups of automatic groups and their isoperimetric
functions
Baumslag, G , Bridson, M., Miller, C. F. and
Short, H., Finitely presented subgroups of automatic groups
and their isoperimetric functions, Journal of the London
Math. Soc. 56 (1997), 292304.
Experimenting
and computing with infinite groups
Baumslag, G. and Miller, C.F., Experimenting
and computing with infinite groups, in DIMACS Series, volume
28, ``Groups and Computation II", (eds. W. Kantor
and L. Finkelstein), Amer. Math. Soc. (1997), 1930.
Solvable
BaumslagSolitar groups are not almost convex
Miller, C.F. and Shapiro, M., Solvable
BaumslagSolitar groups are not almost convex, Geom. Dedicata
72 (1998), 123127.
The
word problem in groups of cohomological dimension 2
Collins, D.J. and Miller, C.F., The word
problem in groups of cohomological dimension 2, in the Groups
St Andrews 1997 in Bath, I (eds. C.M. Campbell, E.F. Robertson,
N.Ruskuc and G.C. Smith) London Math Soc. Lecture Notes 260,
Cambridge University Press (1999), 211218.
Some examples of hyperbolic
groups
Miller, C.F., Neumann, W.D., Swarup, G.A.,
Some examples of hyperbolic groups, in Geometric Group
Theory Down Under (eds. J. Cossey, C. F. Miller III, W. D. Neumann
and M. Shapiro), de Gruyter Verlag (1999), 195202.
Some
presentations of the trivial group
Miller, C.F. and Schupp, P.E., Some presentations
of the trivial group, in Groups, Languages and Geometry (editor
R. H. Gilman), Contemporary Mathematics 250, Amer. Math.
Soc. (1999), 113115.
Fibre
products, nonpositive curvature and decision problems
Baumslag, G , Bridson, M., Miller, C. F. and
Short, H., Fibre products, nonpositive curvature and decision
problems, Comment. Math. Helv. 75 (2000), 457477.
Comment. Math. Helv. pdf version
The subgroups of direct products of surface groups
Bridson, M., Howie, J., Miller, C. F. and
Short, H., The subgroups of direct products of surface groups,
Geometriae Dedicata 92 (2002), 95103.
Subgroups of a direct product with a free group
Miller, C. F.,
Subgroups of a direct product with a free group,
Quarterly Journal of Maths 53 (2002), 503506.
Finite presentation of fibre products of metabelian groups
Baumslag, G., Bridson, M., Holt, D. and Miller, C. F.,
Finite presentation of fibre products of metabelian groups,
Journal of Pure and Applied Algebra. 181 (2003), 1522.
Recognition of subgroups of direct products of hyperbolic groups
Bridson, M. R. and Miller, C. F.,
Recognition of subgroups of direct products of hyperbolic groups,
Proc. Amer. Math. Soc. 132 (2004), 5965.
The isomorphism problem for residually torsionfree nilpotent groups
Baumslag, G. and Miller, C. F.,
The isomorphism problem for residually torsionfree nilpotent groups,
Groups, Geometry and Dynamics 1 (2007), 120.
Reflections on the residual finiteness of onerelator groups
Baumslag, G., Miller, C.F. and Troeger, D.,
Reflections on the residual finiteness of onerelator groups,
Groups, Geometry and Dynamics 1 (2007), 209219.
Finitely presented extensions by free groups
Baumslag, G. and Miller, C.F.,
Finitely presented extensions by free groups,
Journal of Group Theory 10 (2007), 723729.
Reflections on some groups of B.~H.~Neumann
Baumslag, G. and Miller, C.F.,
Reflections on some groups of B. H. Neumann,
Journal of Group Theory 12 (2009), 771781.
Structure and finiteness properties of subdirect products of groups
Bridson, M.R. and Miller, C.F.,
Structure and finiteness properties of subdirect products of groups,
Proc. London Math. Soc. (3) 98 (2009), 631651.
Subgroups of direct products of limit groups
(or see abstract)
Bridson, M., Howie, J., Miller, C.F. and Short, H.,
Subgroups of direct products of limit groups,
Annals of Mathematics 170 (2009), 14471467.
Virtual properties of cyclically pinched onerelator groups
Baumslag, G., Fine, B., Miller, C.F. and Troeger, D.,
Virtual properties of cyclically pinched onerelator groups,
Internat. Journal of Algebga and Computation 19
(2009), 213227.
Subgroups of free metabelain groups
Baumslag, G., Miller, C.F. and Ostheimer, G.,
Subgroups of free metabelain groups,
Groups, Geometry and Dynamics 4 (2010), 657679.
On the finite presentation of subdirect products and the nature of residually free groups
(or see abstract)
Bridson, M., Howie, J., Miller, C.F. and Short, H.,
On the finite presentation of subdirect products and the nature of residually free groups,
to appear Amer. J. Math vol. 135, no. 4, August 2013 (44 pages).
Turing machines to word problems
C. F. Miller,
Turing machines to word problems,
to appear in ASL Lecture Notes in Logic, Volume 41 (Rod Downey editor), 2013 (57 pages)
Various lecture notes:
Sets and Cardinality
C. F. Miller 
lecture notes used in connection with an enrichment
topic for first year mathematics students at
the University of Melbourne. (21 pages)
Finite State Automata
C. F. Miller (with assistance from
J. R. J. Groves, W. D. Neumann
and D. Coulson) 
lecture notes used in connection with various courses at
the University of Melbourne (18 pages).
Combinatorial Group Theory
C. F. Miller 
An early version of these notes was prepared for use by the participants
in the Workshop on Algebra, Geometry and Topology held
at the Australian National University, 22 January to 9 February,
1996. They have subsequently been updated and expanded many times
for use by students in the
subject 620421 Combinatorial Group Theory at the
University of Melbourne.
Copyright 19962004 by C. F. Miller III. (about 100 pages)
Created: 22 March, 1999
Last modified: 22 June, 2013
Authorised by: C. F. Miller, Department of Mathematics and Statistics.
Maintained by: Chuck Miller, Department of Mathematics
and Statistics.
Email: c.miller@ms.unimelb.edu.au
