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This article is cited in 9 scientific papers (total in 9 papers)
On generalized sharply $n$-transitive groups
A. A. Simonov Novosibirsk State University
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
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
Linking options:
https://www.mathnet.ru/eng/im8214https://doi.org/10.1070/IM2014v078n06ABEH002727 https://www.mathnet.ru/eng/im/v78/i6/p153
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Abstract page: | 414 | Russian version PDF: | 152 | English version PDF: | 16 | References: | 51 | First page: | 14 |
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