The History, Classes and Presentations of Groups

Xiao Qiang Guo; Zheng Jun He

doi:10.4028/www.scientific.net/AMR.430-432.834

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 430-432The History, Classes and Presentations of Groups

The History, Classes and Presentations of Groups

Abstract:

First we introduce the history of group theory. Group theory has three main historical sources: number theory, the theory of algebraic equations, and geometry. Secondly, we give the main classes of groups: permutation groups, matrix groups, transformation groups, abstract groups and topological and algebraic groups. Finally, we give two different presentations of a group: combinatorial group theory and geometric group theory.

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Periodical:

Advanced Materials Research (Volumes 430-432)

Pages:

834-837

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.430-432.834

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Online since:

January 2012

Authors:

Xiao Qiang Guo, Zheng Jun He

Keywords:

Combinatorial Group Theory, Geometric Group Theory, Group Theory

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