Miyamoto groups of code algebras

Alonso Castillo-Ramirez, Justin McInroy

Research output: Contribution to journalArticle (Academic Journal)

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 languageEnglish
JournalJournal of Pure and Applied Algebra
Publication statusAccepted/In press - 3 Oct 2020

Keywords

  • math.GR
  • 20B25, 17A99, 17D99, 94B05, 17B69

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