Classification of 9-dimensional trilinear alternating forms over GF(2)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F21%3A85501" target="_blank" >RIV/60460709:41310/21:85501 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S107157972030157X" target="_blank" >https://www.sciencedirect.com/science/article/pii/S107157972030157X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ffa.2020.101788" target="_blank" >10.1016/j.ffa.2020.101788</a>

Result language
angličtina
Original language name
Classification of 9-dimensional trilinear alternating forms over GF(2)
Original language description
Let V be a finite-dimensional vector space over a finite field and let fbe a trilinear alternating form over V. For such forms, we introduce two new invariants. Together with a generalized radical polynomial used for classification of forms in dimension 8 over GF(2), they are sufficient to distinguish between all trilinear alternating forms in dimension 9 over GF(2). To prove the completeness of the list of forms, we computed their groups of automorphisms. There are 31 degenerate and 317 nondegenerate forms. We point out some forms with either small or large automorphism group.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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