Proceedings of the 2nd Information Technology and Mechatronics Engineering Conference (ITOEC 2016)

Some properties on the homomorphism of groups

Authors
Chang Xiufeng, Hai Jinke, Huang Xurong
Corresponding Author
Chang Xiufeng
Available Online May 2016.
DOI
10.2991/itoec-16.2016.43How to use a DOI?
Keywords
normal endomorphism; morphic endomorphism; morphic group; dual homomorphism
Abstract

In this paper, based on the basic of morphic groups and quasi-morphic groups, we defined a new kind of homomorphism with some properties, called dual homomorphism. We give a necessary and sufficient condition of the dual homomorphism. Moreover, we get a connection between the dual homomorphism and the structure of groups.

Copyright
© 2016, 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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Volume Title
Proceedings of the 2nd Information Technology and Mechatronics Engineering Conference (ITOEC 2016)
Series
Advances in Engineering Research
Publication Date
May 2016
ISBN
10.2991/itoec-16.2016.43
ISSN
2352-5401
DOI
10.2991/itoec-16.2016.43How to use a DOI?
Copyright
© 2016, 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  - Chang Xiufeng
AU  - Hai Jinke
AU  - Huang Xurong
PY  - 2016/05
DA  - 2016/05
TI  - Some properties on the homomorphism of groups
BT  - Proceedings of the 2nd Information Technology and Mechatronics Engineering Conference (ITOEC 2016)
PB  - Atlantis Press
SP  - 238
EP  - 241
SN  - 2352-5401
UR  - https://doi.org/10.2991/itoec-16.2016.43
DO  - 10.2991/itoec-16.2016.43
ID  - Xiufeng2016/05
ER  -