Algebraic & Geometric Topology Volume 14, issue 3 (2014)

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Full-featured peak reduction in right-angled Artin groups

Matthew B Day

Algebraic & Geometric Topology 14 (2014) 1677–1743

DOI: 10.2140/agt.2014.14.1677

Bibliography

1	M Casals-Ruiz, I Kazachkov, On systems of equations over free partially commutative groups, Mem. Amer. Math. Soc. 212 (2011) MR2817144
2	R Charney, An introduction to right-angled Artin groups, Geom. Dedicata 125 (2007) 141 MR2322545
3	R Charney, N Stambaugh, K Vogtmann, Outer space for right-angled Artin groups I, arXiv:1212.4791
4	H Cohen, A course in computational algebraic number theory, Graduate Texts in Mathematics 138, Springer (1993) MR1228206
5	D J Collins, H Zieschang, On the Whitehead method in free products, from: "Contributions to group theory" (editors K I Appel, J G Ratcliffe, P E Schupp), Contemp. Math. 33, Amer. Math. Soc. (1984) 141 MR767105
6	D J Collins, H Zieschang, Rescuing the Whitehead method for free products, I: Peak reduction, Math. Z. 185 (1984) 487 MR733769
7	D J Collins, H Zieschang, Rescuing the Whitehead method for free products, II: The algorithm, Math. Z. 186 (1984) 335 MR744825
8	D J Collins, H Zieschang, A presentation for the stabiliser of an element in a free product, J. Algebra 106 (1987) 53 MR878468
9	M B Day, Peak reduction and finite presentations for automorphism groups of right-angled Artin groups, Geom. Topol. 13 (2009) 817 MR2470964
10	M B Day, Symplectic structures on right-angled Artin groups: Between the mapping class group and the symplectic group, Geom. Topol. 13 (2009) 857 MR2470965
11	S Hermiller, J Meier, Algorithms and geometry for graph products of groups, Journal of Algebra 171 (1995) 230 MR1314099
12	M R Laurence, A generating set for the automorphism group of a graph group, J. London Math. Soc. 52 (1995) 318 MR1356145
13	H N Liu, C Wrathall, K Zeger, Efficient solution of some problems in free partially commutative monoids, Inform. and Comput. 89 (1990) 180 MR1080848
14	J McCool, A presentation for the automorphism group of a free group of finite rank, J. London Math. Soc. 8 (1974) 259 MR0340421
15	J McCool, On Nielsen's presentation of the automorphism group of a free group, J. London Math. Soc. 10 (1975) 265 MR0369550
16	J McCool, Some finitely presented subgroups of the automorphism group of a free group, Journal of Algebra 35 (1975) 205 MR0396764
17	J Milnor, Introduction to algebraic $K\!$–theory, Annals of Mathematics Studies 72, Princeton University Press (1971) MR0349811
18	J P Serre, Trees, Springer (2003) MR1954121
19	H Servatius, Automorphisms of graph groups, Journal of Algebra 126 (1989) 34 MR1023285
20	L VanWyk, Graph groups are biautomatic, J. Pure Appl. Algebra 94 (1994) 341 MR1285550
21	J H C Whitehead, On equivalent sets of elements in a free group, Ann. of Math. 37 (1936) 782 MR1503309
22	C Wrathall, Free partially commutative groups, from: "Combinatorics, computing and complexity" (editors D Z Du, G D Hu), Math. Appl. (Chinese Ser.) 1, Kluwer Acad. Publ. (1989) 195 MR1095288