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The infuence of C- Z-permutable subgroups on the structure of finite groups

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2018

Key Words:

Author NameUniversity of AuthorFaculty of Author
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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REFERENCES

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