Combinatorics of subgroups of Beidleman near-vector spaces

Prudence Djagba; Jan Hązła

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arXiv · 2306.16421

Combinatorics of subgroups of Beidleman near-vector spaces

Prudence Djagba·Jan Hązła

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Abstract

Combinatorial aspects of R-subgroups of finite dimensional Beidleman near-vector spaces over nearfields are studied. A characterization of R-subgroups is used to obtain the smallest possible size of a generating set of a subgroup, which is much smaller than its dimension. Furthermore, a formula for the number of R-subgroups of an n-dimensional near-vector space is developed.

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Prudence Djagba, Jan Hązła. 2023-06-13. Combinatorics of subgroups of Beidleman near-vector spaces. https://arxiv.org/abs/2306.16421

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