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Counting Finite-Dimensional Algebras Over Finite Field

Journal Article (2020)
Author(s)

Nikolaas D. Verhulst (TU Delft - Discrete Mathematics and Optimization, Technische Universität Dresden)

Research Group
Discrete Mathematics and Optimization
DOI related publication
https://doi.org/10.1007/s00025-020-01281-6 Final published version
More Info
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Publication Year
2020
Language
English
Research Group
Discrete Mathematics and Optimization
Issue number
4
Volume number
75
Article number
153
Pages (from-to)
1-9
Downloads counter
164
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Institutional Repository
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Abstract

In this paper, we describe an elementary method for counting the number of non-isomorphic algebras of a fixed, finite dimension over a given finite field. We show how this method works in the case of 2-dimensional algebras over the field F2.