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RESEARCH PRODUCT

Sufficient conditions for supersolubility of finite groups

Adolfo Ballester-bolinchesM. C. Pedraza-aguilera

subject

Combinatoricsp-groupMathematics::Group TheoryMaximal subgroupAlgebra and Number TheoryGroup (mathematics)Locally finite groupSylow theoremsOmega and agemo subgroupIndex of a subgroupFitting subgroupMathematics

description

Abstract In this paper sufficient conditions for the supersolubility of finite groups are given under the assumption that the maximal subgroups of Sylow subgroups of the group and the maximal subgroups of Sylow subgroups of the Fitting subgroup are well-situated in the group. That will improve earlier results of Srinivasan [7], Asaad et al. [1] and Ballester-Bolinches [2].

10.1016/s0022-4049(96)00172-7http://dx.doi.org/10.1016/S0022-4049(96)00172-7