Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
Nonuniqueness of semidirect decompositions of groups is an insufficiently studied question in contrast to direct decompositions. We obtain some results about semidirect decompositions for semidirect products with factors which are nontrivial direct products. We deal with a special case of semidirect...
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| Дата: | 2017 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156025 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups / P. Daugulis // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 204-215. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1560252019-06-18T01:31:09Z Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups Daugulis, P. Nonuniqueness of semidirect decompositions of groups is an insufficiently studied question in contrast to direct decompositions. We obtain some results about semidirect decompositions for semidirect products with factors which are nontrivial direct products. We deal with a special case of semidirect product when the twisting homomorphism acts diagonally on a direct product, as well as with the case when the extending group is a direct product. We give applications of these results in the case of generalized dihedral groups and classic dihedral groups D2n. For D2n we give a complete description of semidirect decompositions and values of minimal permutation degrees. 2017 Article Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups / P. Daugulis // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 204-215. — Бібліогр.: 6 назв. — англ. 1726-3255 2010 MSC:20E22, 20D40. http://dspace.nbuv.gov.ua/handle/123456789/156025 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Nonuniqueness of semidirect decompositions of groups is an insufficiently studied question in contrast to direct decompositions. We obtain some results about semidirect decompositions for semidirect products with factors which are nontrivial direct products. We deal with a special case of semidirect product when the twisting homomorphism acts diagonally on a direct product, as well as with the case when the extending group is a direct product. We give applications of these results in the case of generalized dihedral groups and classic dihedral groups D2n. For D2n we give a complete description of semidirect decompositions and values of minimal permutation degrees. |
| format |
Article |
| author |
Daugulis, P. |
| spellingShingle |
Daugulis, P. Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups Algebra and Discrete Mathematics |
| author_facet |
Daugulis, P. |
| author_sort |
Daugulis, P. |
| title |
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups |
| title_short |
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups |
| title_full |
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups |
| title_fullStr |
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups |
| title_full_unstemmed |
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups |
| title_sort |
nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156025 |
| citation_txt |
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups / P. Daugulis // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 204-215. — Бібліогр.: 6 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT daugulisp nonuniquenessofsemidirectdecompositionsforsemidirectproductswithdirectlydecomposablefactorsandapplicationsfordihedralgroups |
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2023-05-20T17:48:43Z |
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2023-05-20T17:48:43Z |
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1796154142111039488 |