## 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.

**Download:** **PDF**

### Submission history

[v1] 7 Mar 2010

[v2] 26 Jun 2011

**Unique-IP document downloads:** 292 times

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