The special linear group for nonassociative rings

Harry Petyt

Research output: Contribution to journalArticle (Academic Journal)peer-review


We extend to arbitrary rings a definition of the octonion special linear group due to Baez. At the infinitesimal level, we get a Lie ring, which we describe over some large classes of rings, including all associative rings and all algebras over a field. As a corollary, we compute all the groups Baez defined.
Original languageEnglish
JournalJournal of Group Theory
Publication statusAccepted/In press - 1 Oct 2019


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