Journal Name:
- European Journal of Pure and Applied Mathematics
Key Words:
Author Name | University of Author | Faculty of Author |
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Abstract (2. Language):
Let Z be a complete set of Sylow subgroups of a nite group G, that is, for each prime
p dividing the order of G, Z contains exactly one and only one Sylow p-subgroup of G, say Gp.
Let C be a nonempty subset of G. A subgroup H of G is said to be C-Z-permutable (conjugate-
Z-permutable) subgroup of G if there exists some x 2 C such that HxGp = GpHx, for all Gp 2 Z.
We investigate the structure of the nite group G under the assumption that certain subgroups of
prime power orders of G are C-Z-permutable subgroups of G.
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