Abstract
A code algebra $A_C$ is a nonassociative commutative algebra defined via a binary linear code $C$. In a previous paper, we classified when code algebras are $\mathbb{Z}_2$-graded axial algebras generated by small idempotents. In this paper, for each algebra in our classification, we obtain the Miyamoto group associated to the grading. We also show that the code algebra structure can be recovered from the axial algebra structure.
Original language | English |
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Article number | 106619 |
Number of pages | 19 |
Journal | Journal of Pure and Applied Algebra |
Volume | 225 |
Issue number | 6 |
Early online date | 10 Nov 2020 |
DOIs | |
Publication status | E-pub ahead of print - 10 Nov 2020 |
Keywords
- math.GR
- 20B25, 17A99, 17D99, 94B05, 17B69