A Note on Finite Groups Whose all of Subgroups are C-Normal
Available Online August 2013.
- 10.2991/icacsei.2013.109How to use a DOI?
- c-normal subgroups, p-groups, maximal class, supersolvable groups.
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.
- © 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 -