On permutable subgroups of soluble minimax groups
Copyright policy )On permutable subgroups of soluble minimax groups
A subgroup H of a group is called permutable if \(HK=KH\) for every subgroup K. Also a subgroup of a group G is said to be core-free, if it contains no nontrivial normal subgroups of G. The following result is established. Theorem. A core-free permutable subgroup of a residually finite soluble minimax group is contained in the hypercentre.
- University of Peradeniya Sri Lanka
core-free permutable subgroup, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, Derived series, central series, and generalizations for groups, Subgroup theorems; subgroup growth, residually finite soluble minimax group, hypercentre, Residual properties and generalizations; residually finite groups
core-free permutable subgroup, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, Derived series, central series, and generalizations for groups, Subgroup theorems; subgroup growth, residually finite soluble minimax group, hypercentre, Residual properties and generalizations; residually finite groups
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