On a generalization of T-groups
This thesis is an expository work of the article of Dr. Edmundo R. Perez Jr. entitled, A Generalization of T-groups. A class of locally supersoluble groups called the soluble hall-T groups is identified. Basic examples of hall-T groups are nilpotent and T-groups. However, hall-T groups are not neces...
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| Format: | text |
| Language: | English |
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Animo Repository
2007
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_masteral/3587 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/10425/viewcontent/CDTG004125_P__2_.pdf |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | This thesis is an expository work of the article of Dr. Edmundo R. Perez Jr. entitled, A Generalization of T-groups. A class of locally supersoluble groups called the soluble hall-T groups is identified. Basic examples of hall-T groups are nilpotent and T-groups. However, hall-T groups are not necessarily nilpotent or T-groups. The secondary result of this exposition states that the product of a normal soluble T-subgroup and a subnormal locally supersoluble subgroup is locally supersoluble. The main result states that the product of a normal soluble hall-T subgroup and a subnormal locally supersoluble subgroup is locally supersoluble. |
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