On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field
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| Creator |
Leshchenko, Yu.
Sushchansky, V. |
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| Description |
The group UJ₂(Fq) of unitriangular automorphisms of the polynomial ring in two variables over a finite field Fq, q = pm, is studied. We proved that UJ₂(Fq) is isomorphic to a standard wreath product of elementary Abelian p-groups. Using wreath product representation we proved that the nilpotency class of UJ₂(Fq) is c = m(p − 1) + 1 and the (k + 1)th term of the lower central series of this group coincides with the (c − k)th term of its upper central series. Also we showed that UJn(Fq) is not nilpotent if n ≥ 3.
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| Date |
2019-06-13T10:53:05Z
2019-06-13T10:53:05Z 2014 |
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| Type |
Article
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| Identifier |
On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field / Yu. Leshchenko, V. Sushchansky // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 288–297. — Бібліогр.: 7 назв. — англ.
1726-3255 2010 MSC:20D15, 20E22, 20E36, 20F14. http://dspace.nbuv.gov.ua/handle/123456789/152947 |
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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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