Na Tang
Abstract
A subgroup H of a finite group G was called s-semipermutable in G if H permutes with all Sylow subgroups of G with order prime to |H|.In this paper,we study the structure of finite groups in view of some basic properties and obtain some new results about factorizable groups.
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A subgroup H of a finite group G was called s-semipermutable in G if H permutes with all Sylow subgroups of G with order prime to |H|.In this paper,we study the structure of finite groups in view of some basic properties and obtain some new results about factorizable groups.
Key concepts: Sylow theorems, Mathematics, Locally finite group, Finite group, p-group, Prime (order theory), Index of a subgroup, Order (exchange)