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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| Format: | text |
| Language: | English |
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Animo Repository
2015
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| Online Access: | https://animorepository.dlsu.edu.ph/etd_doctoral/449 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | 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. |
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