Volume 1 (1998)

Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
All Volumes
 
About this Series
Ethics Statement
Purchase Printed Copies
Author Index
ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
 
MSP Books and Monographs
Other MSP Publications
Automatic groups, subgroups and cosets

Derek F Holt

Geometry & Topology Monographs 1 (1998) 249–260
DOI: 10.2140/gtm.1998.1.249
Bibliography
1 G Baumslag, S M Gersten, M Shapiro, H Short, Automatic groups and amalgams, J. Pure Appl. Algebra 76 (1991) 229 MR1147304
2 J W Cannon, The combinatorial structure of cocompact discrete hyperbolic groups, Geom. Dedicata 16 (1984) 123 MR758901
3 D B A Epstein, J W Cannon, D F Holt, S V F Levy, M S Paterson, W P Thurston, Word processing in groups, Jones and Bartlett Publishers (1992) MR1161694
4 D B A Epstein, D F Holt, S E Rees, The use of Knuth–Bendix methods to solve the word problem in automatic groups, J. Symbolic Comput. 12 (1991) 397 MR1146506
5 D B A Epstein, A R Iano-Fletcher, U Zwick, Growth functions and automatic groups, Experiment. Math. 5 (1996) 297 MR1437220
6 S M Gersten, H B Short, Rational subgroups of biautomatic groups, Ann. of Math. $(2)$ 134 (1991) 125 MR1114609
7 R H Gilman, Presentations of groups and monoids, J. Algebra 57 (1979) 544 MR533813
8 D F Holt, The Warwick automatic groups software, from: "Geometric and computational perspectives on infinite groups (Minneapolis, MN and New Brunswick, NJ, 1994)", DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 25, Amer. Math. Soc. (1996) 69 MR1364180
9 D F Holt, D F Hurt, Computing automatic coset systems and subgroup presentations, J. Symbolic Comput. 27 (1999) 1 MR1657736
10 J E Hopcroft, J D Ullman, Introduction to automata theory, languages, and computation, Addison-Wesley Publishing Co., Reading, MA (1979) MR645539
11 D F Hurt, The use of Knuth–Bendix methods and automatic coset systems for solving the generalized word problem and finding subgroup presentations, PhD thesis, University of Warwick (1996)
12 I Kapovich, Detecting quasiconvexity: algorithmic aspects, from: "Geometric and computational perspectives on infinite groups (Minneapolis, MN and New Brunswick, NJ, 1994)", DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 25, Amer. Math. Soc. (1996) 91 MR1364182
13 R C Lyndon, P E Schupp, Combinatorial group theory, Ergebnisse der Mathematik und ihrer Grenzgebiete 89, Springer (1977) MR0577064
14 G McShane, J R Parker, I Redfern, Drawing limit sets of Kleinian groups using finite state automata, Experiment. Math. 3 (1994) 153 MR1313880
15 I D Redfern, Automatic coset systems, PhD thesis, University of Warwick (1993)
16 S Rees, Hairdressing in groups: a survey of combings and formal languages, from: "The Epstein birthday schrift", Geom. Topol. Monogr. 1, Geom. Topol. Publ., Coventry (1998) 493 MR1668336
17 M Shapiro, Graph products of automatic groups, unpublished