Combinatorics of subgroups of Beidleman near-vector spaces
Rings and Algebras
2023-06-30 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2306.16421,
title = {Combinatorics of subgroups of Beidleman near-vector spaces},
author = {Prudence Djagba and Jan Hązła},
journal= {arXiv preprint arXiv:2306.16421},
year = {2023}
}