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

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/).

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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  -