Counting Finite-Dimensional Algebras Over Finite Field
Journal Article
(2020)
Author(s)
Nikolaas Verhulst (TU Delft - Discrete Mathematics and Optimization, Technische Universität Dresden)
Research Group
Discrete Mathematics and Optimization
Copyright
© 2020 N.D. Verhulst
DOI related publication
https://doi.org/10.1007/s00025-020-01281-6
To reference this document use:
https://resolver.tudelft.nl/uuid:86302722-3ccb-4fdd-8798-fd1f077a4a75
More Info
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Publication Year
2020
Language
English
Copyright
© 2020 N.D. Verhulst
Research Group
Discrete Mathematics and Optimization
Issue number
4
Volume number
75
Pages (from-to)
1-9
Reuse Rights
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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.
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