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Algebra i logika, 2014, Volume 53, Number 3, Pages 323–339 (Mi al638)  
This article is cited in 6 scientific papers (total in 6 papers)

Solvable and unipotent supergroups

A. N. Zubkova, P. A. Ulyashevb

a Omsk State Pedagogical University, nab. Tukhachevskogo 14, Omsk, 644099, Russia
b Omsk Branch of Sobolev Institute of Mathematics, ul. Pevtsova 13, Omsk, 644099, Russia
Full-text PDF (219 kB) Citations (6)
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Abstract: It is proved that an algebraic supergroup $G$ is unipotent iff $G_{ev}$ is unipotent. Here our reasoning involves only induction on dimension and some properties of the adjoint representation. In a similar way, it is shown that over a field of characteristic zero, a connected supergroup $G$ is solvable iff $G_{ev}$ is solvable.
Keywords: adjoint representation, algebraic supergroup, solvable supergroup, unipotent supergroup, connected supergroup.
Received: 26.04.2013
Revised: 04.03.2014
English version:
Algebra and Logic, 2014, Volume 53, Issue 3, Pages 206–216
DOI: https://doi.org/10.1007/s10469-014-9284-7
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. N. Zubkov, P. A. Ulyashev, “Solvable and unipotent supergroups”, Algebra Logika, 53:3 (2014), 323–339; Algebra and Logic, 53:3 (2014), 206–216
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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