Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
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| Creator |
Daugulis, P.
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| 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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| Date |
2019-06-17T19:00:16Z
2019-06-17T19:00:16Z 2017 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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