Hypercentral Groups with all Subgroups Subnormal II
Copyright policy )Hypercentral Groups with all Subgroups Subnormal II
It is shown that a hypercentral group that has all subgroups subnormal and every non-nilpotent subgroup of bounded defect is nilpotent. As a consequence, a hypercentral group of length at most ω in which every subgroup is subnormal is nilpotent.
- Ege University Turkey
- Bucknell University United States
Generalizations of solvable and nilpotent groups, sections, locally nilpotent, Chains and lattices of subgroups, subnormal subgroups, nilpotent groups, subnormality, subnormal subgroups, rank, hypercentral groups, hypercentral group, Nilpotent groups, Local properties of groups
Generalizations of solvable and nilpotent groups, sections, locally nilpotent, Chains and lattices of subgroups, subnormal subgroups, nilpotent groups, subnormality, subnormal subgroups, rank, hypercentral groups, hypercentral group, Nilpotent groups, Local properties of groups
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