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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oai:animorepository.dlsu.edu.ph:etd_masteral-104252022-06-09T00:57:21Z On a generalization of T-groups Palma, Tessie Matibag 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. 2007-01-01T08:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etd_masteral/3587 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/10425/viewcontent/CDTG004125_P__2_.pdf Master's Theses English Animo Repository T-Groups Finite groups Group relations training Group theory Mathematics |
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De La Salle University |
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Philippines Philippines |
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English |
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T-Groups Finite groups Group relations training Group theory Mathematics |
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T-Groups Finite groups Group relations training Group theory Mathematics Palma, Tessie Matibag On a generalization of T-groups |
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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. |
| format |
text |
| author |
Palma, Tessie Matibag |
| author_facet |
Palma, Tessie Matibag |
| author_sort |
Palma, Tessie Matibag |
| title |
On a generalization of T-groups |
| title_short |
On a generalization of T-groups |
| title_full |
On a generalization of T-groups |
| title_fullStr |
On a generalization of T-groups |
| title_full_unstemmed |
On a generalization of T-groups |
| title_sort |
on a generalization of t-groups |
| publisher |
Animo Repository |
| publishDate |
2007 |
| url |
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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