Add to ORKGAbstract. A subgroup A of a group G is said to be X-permutable with another subgroup B in G, where ∅ 6 = X ⊆ G, if there exists some element x ∈ X such that ABx = BxA. In this paper, the solubility and supersolubility of finite groups are described by X-permutability of the Hall subgroups and their subgroups, in addition, the well known theorem of Schur-Zassenhaus in finite group is generalized
AbstractA subgroup S of a group G is a permutable subgroup of G if for all subgroups X of G, SX=XS. ...
It is well known that a group G = AB which is the product of two supersoluble subgroups A and B is n...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00013-016-0901-7In th...
AbstractLet X be a non-empty subset of a group G. Then we call a subgroup A of G a X-semipermutable ...
Two subgroups X and Y of a group G are said to be conditionally permutable in G if X permutes with Y...
A subgroup H of a group G is termed permutable (or quasi normal) in G if it satisfies the following ...
AbstractLet G be a finite group and H a subgroup of G. Then H is said to be s-permutable in G if HP=...
AbstractIn this paper sufficient conditions for the supersolubility of finite groups are given under...
AbstractTwo subgroups X and Y of a group G are said to be conditionally permutable in G if X permute...
In two papers J.T. Buckley, J.C. Lennox, H. Smith, B.H. Neumann and J. Wiegold studied groups in whi...
AbstractA group G is a PT-group if, for subgroups H and K with H permutable in K and K permutable in...
AbstractThis paper is devoted to the study of mutually permutable products of finite groups. A facto...
A subgroup H of a finite group G is said to be S-semipermutable in G if H permutes with every Sylow ...
AbstractA subgroup H of a group G is said to permute with the subgroup K of G if HK=KH. Subgroups H ...
最近几年,利用子群的置换性质刻画有限群结构成为了人们感兴趣的课题.文献(J.Algebra,2007,315:31-41.)引入了X-半置换子群的概念:设X是有限群G的一个非空子集.G的一个子群A称为...
AbstractA subgroup S of a group G is a permutable subgroup of G if for all subgroups X of G, SX=XS. ...
It is well known that a group G = AB which is the product of two supersoluble subgroups A and B is n...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00013-016-0901-7In th...
AbstractLet X be a non-empty subset of a group G. Then we call a subgroup A of G a X-semipermutable ...
Two subgroups X and Y of a group G are said to be conditionally permutable in G if X permutes with Y...
A subgroup H of a group G is termed permutable (or quasi normal) in G if it satisfies the following ...
AbstractLet G be a finite group and H a subgroup of G. Then H is said to be s-permutable in G if HP=...
AbstractIn this paper sufficient conditions for the supersolubility of finite groups are given under...
AbstractTwo subgroups X and Y of a group G are said to be conditionally permutable in G if X permute...
In two papers J.T. Buckley, J.C. Lennox, H. Smith, B.H. Neumann and J. Wiegold studied groups in whi...
AbstractA group G is a PT-group if, for subgroups H and K with H permutable in K and K permutable in...
AbstractThis paper is devoted to the study of mutually permutable products of finite groups. A facto...
A subgroup H of a finite group G is said to be S-semipermutable in G if H permutes with every Sylow ...
AbstractA subgroup H of a group G is said to permute with the subgroup K of G if HK=KH. Subgroups H ...
最近几年,利用子群的置换性质刻画有限群结构成为了人们感兴趣的课题.文献(J.Algebra,2007,315:31-41.)引入了X-半置换子群的概念:设X是有限群G的一个非空子集.G的一个子群A称为...
AbstractA subgroup S of a group G is a permutable subgroup of G if for all subgroups X of G, SX=XS. ...
It is well known that a group G = AB which is the product of two supersoluble subgroups A and B is n...
The final publication is available at Springer via http://dx.doi.org/10.1007/s00013-016-0901-7In th...