A note on semidirect products and nonabelian tensor products of groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A note on semidirect products and nonabelian tensor products of groups
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| Creator |
Nakaoka, I.N.
Rocco, N.R. |
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| Description |
Let G and H be groups which act compatibly on one another. In [2] and [8] it is considered a group construction η(G,H) which is related to the nonabelian tensor product G⊗H. In this note we study embedding questions of certain semidirect products A⋊H into η(A,H), for finite abelian H-groups A. As a consequence of our results we obtain that complete Frobenius groups and affine groups over finite fields are embedded into η(A,H) for convenient groups A and H. Further, on considering finite metabelian groups G in which the derived subgroup has order coprime with its index we establish the order of the nonabelian tensor square of G.
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| Date |
2019-06-15T16:22:18Z
2019-06-15T16:22:18Z 2009 |
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| Type |
Article
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| Identifier |
A note on semidirect products and nonabelian tensor products of groups / I.N. Nakaoka, N.R. Rocco // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 77–84. — Бібліогр.: 14 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:20J99, 20E22 http://dspace.nbuv.gov.ua/handle/123456789/154510 |
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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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