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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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2017 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862627856335503360 |
|---|---|
| author | Daugulis, P. |
| author_facet | Daugulis, P. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-30T09:15:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156025 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T09:15:49Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Daugulis, P. 2019-06-17T19:00:16Z 2019-06-17T19:00:16Z 2017 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. https://nasplib.isofts.kiev.ua/handle/123456789/156025 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups Article published earlier |
| spellingShingle | Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups Daugulis, P. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156025 |
| work_keys_str_mv | AT daugulisp nonuniquenessofsemidirectdecompositionsforsemidirectproductswithdirectlydecomposablefactorsandapplicationsfordihedralgroups |