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Properties of $n$ -ary groups connected with the affine geometry are considered. Some conditions for an $n$ -ary $r s$ -group to be derived from a binary group are given. Necessary and sufficient conditions for an $n$ -ary group $< θ, b >$ -derived from an additive group of a field to be an $r s$ -group are obtained. The existence of non-commutative $n$ -ary $r s$ -groups which are not derived from any group of arity $m < n$ for every $n \geq 3$ , $r > 2$ is proved.

On the interpoint distance sum inequality.

Xia, Yong, Liu, Hong-Ying (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

One generalization of planar partitions of Abelian groups

Václav Havel (1966)

Commentationes Mathematicae Universitatis Carolinae

Displaying 1 – 7 of 7

On finite circular spaces.

On hyperplanes and free subspaces of affine Klingenberg spaces.

On hyperplanes and free subspaces of affine Klingenberg spaces. (Summary).

On perspectivities in incidence geometries of grade n

On Rusakov’s n -ary r s -groups

On the interpoint distance sum inequality.

One generalization of planar partitions of Abelian groups

Currently displaying 1 – 7 of 7

On Rusakov’s $n$ -ary $r s$ -groups