Products of normal locally supersoluble subgroups
Classes of groups are not necessarily closed under forming products. That is, if a group G that is the product of H and K, where H and K are normal locally supersoluble subgroups of G, then G need not be locally supersoluble. This paper determines sufficient conditions for H so that G would be local...
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oai:animorepository.dlsu.edu.ph:etd_doctoral-14482024-06-10T05:57:31Z Products of normal locally supersoluble subgroups Reyes, Allan S. Classes of groups are not necessarily closed under forming products. That is, if a group G that is the product of H and K, where H and K are normal locally supersoluble subgroups of G, then G need not be locally supersoluble. This paper determines sufficient conditions for H so that G would be locally supersoluble and further identifies classes of groups that satisfy these conditions: periodic locally soluble CC-groups that are PST-groups, radical hyperfinite AP-groups, and periodic radical PT-group satisfying min-p for all primes p. 2015-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_doctoral/449 Dissertations English Animo Repository Solvable groups Mathematics |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
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English |
| topic |
Solvable groups Mathematics |
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Solvable groups Mathematics Reyes, Allan S. Products of normal locally supersoluble subgroups |
| description |
Classes of groups are not necessarily closed under forming products. That is, if a group G that is the product of H and K, where H and K are normal locally supersoluble subgroups of G, then G need not be locally supersoluble. This paper determines sufficient conditions for H so that G would be locally supersoluble and further identifies classes of groups that satisfy these conditions: periodic locally soluble CC-groups that are PST-groups, radical hyperfinite AP-groups, and periodic radical PT-group satisfying min-p for all primes p. |
| format |
text |
| author |
Reyes, Allan S. |
| author_facet |
Reyes, Allan S. |
| author_sort |
Reyes, Allan S. |
| title |
Products of normal locally supersoluble subgroups |
| title_short |
Products of normal locally supersoluble subgroups |
| title_full |
Products of normal locally supersoluble subgroups |
| title_fullStr |
Products of normal locally supersoluble subgroups |
| title_full_unstemmed |
Products of normal locally supersoluble subgroups |
| title_sort |
products of normal locally supersoluble subgroups |
| publisher |
Animo Repository |
| publishDate |
2015 |
| url |
https://animorepository.dlsu.edu.ph/etd_doctoral/449 |
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1802997415907688448 |