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Miyamoto groups of code algebras

Castillo-Ramirez, Alonso
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McInroy, Justin
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Universidad de Guadalajara; University of Bristol; Heilbronn Institute for Mathematical Research
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2020-11-10
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Mathematics
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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 Z_2-graded axial (decomposition) 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 decomposition algebra structure.
Citation
Castillo-Ramirez, A., & McInroy, J. (2021). Miyamoto groups of code algebras. Journal of Pure and Applied Algebra, 225(6), 106619. https://doi.org/10.1016/j.jpaa.2020.106619
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Elsevier
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Journal of Pure and Applied Algebra
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http://hdl.handle.net/10034/627075
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10.1016/j.jpaa.2020.106619
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https://www.sciencedirect.com/science/article/pii/S0022404920303200