Geodesic
On generalized sharply $n$-transitive groups
Izvestiya. Mathematics , Tome 78 (2014) no. 6, pp. 1207-1231

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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. 
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     author = {A. A. Simonov},
     title = {On generalized sharply $n$-transitive groups},
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     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2014_78_6_a8/}
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A. A. Simonov. On generalized sharply $n$-transitive groups. Izvestiya. Mathematics , Tome 78 (2014) no. 6, pp. 1207-1231. http://geodesic.mathdoc.fr/item/IM2_2014_78_6_a8/