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Finite Groups Whose F-Hypercenter Contains Certain Subgroups of Prime Power Order

M. Ezzat Mohamed

Department of Mathematics, Faculty of Science, Fayoum University, Egypt

https://doi.org/10.1142/S1005386709000558Cited by:1 (Source: Crossref)

Abstract

In this paper, we study the structure of finite groups G under the assumption that certain abelian subgroups of largest possible exponent of prime power order lie in the 𝔉-hypercenter of G. We improve and extend some results of Ezzat, Shaalan, Elashiry, Asaad, Ramadan, and Buckley.

Keywords:

AMSC: 20D10, 20D20

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