Constructions of Finite Groups
- https://doi.org/10.2991/csic-15.2015.85How to use a DOI?
- Finite group, CY-matrix, Permutation, Geometry method, Construction, Classification
Y-group (as a matrix) in  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.
- © 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/).
Cite this article
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 - https://doi.org/10.2991/csic-15.2015.85 ID - Qin2015/07 ER -