# zbMATH — the first resource for mathematics

Operations on maps, and outer automorphisms. (English) Zbl 0509.57001

##### MSC:
 57M15 Relations of low-dimensional topology with graph theory 57N05 Topology of the Euclidean $$2$$-space, $$2$$-manifolds (MSC2010) 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 05C10 Planar graphs; geometric and topological aspects of graph theory
Full Text:
##### References:
 [1] R. P. Bryant and D. Singerman, Foundations of the theory of maps on surfaces with boundary, Quart. J. Math. Oxford, in press. · Zbl 0565.05026 [2] Coxeter, H. S. M; Moser, W. O. J: 4th ed. Generators and relations for discrete groups. Generators and relations for discrete groups (1980) · Zbl 0422.20001 [3] Dyer, J. L.: Automorphism sequences of integer unimodular groups. Illinois J. Math. 22, 1-30 (1978) · Zbl 0367.20042 [4] Hua, L. -K; Reiner, I.: Automorphisms of the projective unimodular group. Trans. amer. Math. soc. 72, 467-473 (1952) · Zbl 0048.25701 [5] Jones, G. A.: Graph imbeddings, groups, and Riemann surfaces. Colloq. math. Soc. jános bolyai 25 (1981) · Zbl 0473.05028 [6] Jones, G. A.; Singerman, D.: Theory of maps on orientable surfaces. Proc. London math. Soc. 37, 273-307 (1978) · Zbl 0391.05024 [7] Lins, S.: Graph-encoded maps. J. combin. Theory ser. B 32, 171-181 (1982) · Zbl 0465.05031 [8] Lyndon, R. C.; Schupp, P. E.: 4th ed. Combinatorial group theory. Combinatorial group theory (1977) [9] Thornton, J. S.: 4th ed. Ph. D. Thesis. Ph. D. Thesis (1983) [10] Tutte, W. T.: What is a map?. New directions in the theory of graphs (1973) · Zbl 0258.05105 [11] Wilson, S. E.: Operators over regular maps. Pacific J. Math. 81, 559-568 (1979) · Zbl 0433.05021
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.