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
Mostaghim
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.
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