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Commutative L-sets and nilpotent TL-groups |
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| Authors: | Jae-Gyeom Kim |
| Affiliation: | Department of Mathematics, Kyungsung University, Pusan 608-736, South Korea |
| Abstract: | The notions of a commutative L-subset and a nilpotent TL-subgroup are introduced and some of their properties are investigated. In particular, it is shown that all nilpotent groups can be characterized in terms of their nilpotent TL-subgroups. |
| Keywords: | L-subset Normalizer of L-subset Centralizer of L-subset Normal L-subset Commutative L-subset Commutative TL-subgroup Nilpotent TL-subgroup |
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