Constructions of Finite Groups

DOI

10.2991/csic-15.2015.85How to use a DOI?

Keywords

Finite group, CY-matrix, Permutation, Geometry method, Construction, Classification

Abstract

Y-group (as a matrix) in [1] presents a new representation of finite algebra systems. A complete Y-group decides a finite group, and the computation table of a finite group is a complete Y-group. Ones can comprehend deeply constructions of finite groups based on geometric properties of matrixes. In this paper, we analyse inherent connections between the three (ordinary finite group, permutation group, and matrix group for ordinary multiplication), and investigate some methods for constructing finite groups based on geometry (or structure) properties of matrixes. It is helpful for classifying and decomposing finite groups.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yongbin Qin
AU  - Haiyue Zhang
AU  - Daoyun Xu
PY  - 2015/07
DA  - 2015/07
TI  - Constructions of Finite Groups
BT  - Proceedings of the 2015 International Conference on Computer Science and Intelligent Communication
PB  - Atlantis Press
SP  - 355
EP  - 360
SN  - 2352-538X
UR  - https://doi.org/10.2991/csic-15.2015.85
DO  - 10.2991/csic-15.2015.85
ID  - Qin2015/07
ER  -