Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)

A Note on Finite Groups Whose all of Subgroups are C-Normal

Authors
Z. Mostaghim
Corresponding Author
Z. Mostaghim
Available Online August 2013.
DOI
10.2991/icacsei.2013.109How to use a DOI?
Keywords
c-normal subgroups, p-groups, maximal class, supersolvable groups.
Abstract

A subgroup H of a group G is said to be c-normal in G if there exists a normal subgroup N of G such that HN=G and H N Core(H) where Core (H) is the largest normal subgroup of G contained in H . In this paper we consider finite P-groups of order at most P4 where P is a prime and show that all of their subgroups are c-normal. Also we study some classes of finite groups whose all of subgroups are c-normal.

Copyright
© 2013, 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/).

Download article (PDF)

Volume Title
Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90-78677-74-1
ISSN
1951-6851
DOI
10.2991/icacsei.2013.109How to use a DOI?
Copyright
© 2013, 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  - Z. Mostaghim
PY  - 2013/08
DA  - 2013/08
TI  - A Note on Finite Groups Whose all of Subgroups are C-Normal
BT  - Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)
PB  - Atlantis Press
SP  - 441
EP  - 443
SN  - 1951-6851
UR  - https://doi.org/10.2991/icacsei.2013.109
DO  - 10.2991/icacsei.2013.109
ID  - Mostaghim2013/08
ER  -