Hypercyclic products of HCA-groups
A group G is said to be a Hall cyclic-by-abelian or an HCA-group if G con- tains a normal nilpotent subgroup N such that G/N0 is cyclic-by-abelian. It was also established that if G = HK where H and K are normal hypercyclic groups, then G is not necessarily hypercyclic. This paper determines suffi-...
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oai:animorepository.dlsu.edu.ph:etd_masteral-130182022-05-05T02:19:15Z Hypercyclic products of HCA-groups Medenilla, Mark Anthony A group G is said to be a Hall cyclic-by-abelian or an HCA-group if G con- tains a normal nilpotent subgroup N such that G/N0 is cyclic-by-abelian. It was also established that if G = HK where H and K are normal hypercyclic groups, then G is not necessarily hypercyclic. This paper determines suffi- cient conditions for H and K so that G = HK is hypercyclic and identifies classes of groups that would satisfy the given conditions: abelian groups, nilpotent groups, cyclic-by-abelian groups and HCA-groups. Some results about the product of finite HCA-groups are also given. Keywords: HCA-groups, hypercyclic groups, nilpotent groups, cyclic-by-abelian groups, 2020-09-01T07:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etd_masteral/5957 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/13018/viewcontent/Medenilla_Mark_Anthony_11283637_Hypercyclic_products_of_HCA_groups_Partial.pdf Master's Theses English Animo Repository Nilpotent groups Abelian groups Mathematics |
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Nilpotent groups Abelian groups Mathematics |
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Nilpotent groups Abelian groups Mathematics Medenilla, Mark Anthony Hypercyclic products of HCA-groups |
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A group G is said to be a Hall cyclic-by-abelian or an HCA-group if G con- tains a normal nilpotent subgroup N such that G/N0 is cyclic-by-abelian. It was also established that if G = HK where H and K are normal hypercyclic groups, then G is not necessarily hypercyclic. This paper determines suffi- cient conditions for H and K so that G = HK is hypercyclic and identifies classes of groups that would satisfy the given conditions: abelian groups, nilpotent groups, cyclic-by-abelian groups and HCA-groups. Some results about the product of finite HCA-groups are also given.
Keywords: HCA-groups, hypercyclic groups, nilpotent groups, cyclic-by-abelian groups, |
| format |
text |
| author |
Medenilla, Mark Anthony |
| author_facet |
Medenilla, Mark Anthony |
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Medenilla, Mark Anthony |
| title |
Hypercyclic products of HCA-groups |
| title_short |
Hypercyclic products of HCA-groups |
| title_full |
Hypercyclic products of HCA-groups |
| title_fullStr |
Hypercyclic products of HCA-groups |
| title_full_unstemmed |
Hypercyclic products of HCA-groups |
| title_sort |
hypercyclic products of hca-groups |
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Animo Repository |
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2020 |
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https://animorepository.dlsu.edu.ph/etd_masteral/5957 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/13018/viewcontent/Medenilla_Mark_Anthony_11283637_Hypercyclic_products_of_HCA_groups_Partial.pdf |
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