Combinatorics and Graph Theory


Automorphismgroups of Maps, Surfaces and Smarandache Geometries

Authors: Linfan Mao

Automorphism groups survey similarities on mathematical systems, which appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, ... and theoretical physics, theoretical chemistry, etc. In geometry, configurations with high symmetry born symmetrical patterns, a kind of beautiful pictures in aesthetics. Naturally, automorphism groups enable one to distinguish systems by similarity. More automorphisms imply more symmetries of that system. This fact has established the fundamental role of automorphism groups in modern sciences. So it is important for graduate students knowing automorphism groups with applications.

Comments: 399 pages.

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Submission history

[v1] 7 Mar 2010
[v2] 26 Jun 2011

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