The symmetric genus of alternating and symmetric groups
Copyright policy )The symmetric genus of alternating and symmetric groups
The symmetric genus of a finite group G has been defined by Thomas W. Tucker as the smallest genus of all surfaces on which G acts faithfully as a group of automorphisms (some of which may reverse the orientation of the surface). This note announces the symmetric genus of all finite alternating and symmetric groups.
- University of Auckland New Zealand
Symmetric groups, genus of surfaces, Computational Theory and Mathematics, symmetric genus, Fundamental groups and their automorphisms (group-theoretic aspects), symmetric groups, Discrete Mathematics and Combinatorics, group of automorphisms, Planar graphs; geometric and topological aspects of graph theory, Theoretical Computer Science
Symmetric groups, genus of surfaces, Computational Theory and Mathematics, symmetric genus, Fundamental groups and their automorphisms (group-theoretic aspects), symmetric groups, Discrete Mathematics and Combinatorics, group of automorphisms, Planar graphs; geometric and topological aspects of graph theory, Theoretical Computer Science
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