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Izvestiya: Mathematics, 2014, Volume 78, Issue 6, Pages 1207–1231
DOI: https://doi.org/10.1070/IM2014v078n06ABEH002727 (Mi im8214) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On generalized sharply $n$-transitive groups

A. A. Simonov

Novosibirsk State University
English version PDF (360 kB) Citations (9)
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DOI: https://doi.org/10.1070/IM2014v078n06ABEH002727
Abstract: We regard generalized sharply $n$-transitive groups as generalizations of affine, projective, $n$-transitive transformation groups. Pseudo-fields of degree $n$ are regarded as generalizations of the algebraic systems of near-domains, $\mathrm{KT}$-fields and fields of degree $n$. We prove that generalized sharply $n$-transitive groups and pseudo-fields of degree $n$ are category equivalent.
Keywords: transitive group, near-domain, near-ring, category.
Received: 23.01.2014
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 6, Pages 153–178
DOI: https://doi.org/10.4213/im8214
Bibliographic databases:
Document Type: Article
UDC: 512.573+512.543.7
MSC: 08A55, 12K99, 16Y30, 20B99
Language: English
Original paper language: Russian
Citation: A. A. Simonov, “On generalized sharply $n$-transitive groups”, Izv. RAN. Ser. Mat., 78:6 (2014), 153–178; Izv. Math., 78:6 (2014), 1207–1231
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    References:51
    First page:14
     
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