Algebras with Transitive Automorphism Groups
Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 224-226

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Let A be a finite dimensional algebra (not necessarily associative) over a field, whose automorphism group acts transitively. It is shown that K = GF(2) and A is a Kostrikin algebra. The automorphism group is determined to be a semi-direct product of two cyclic groups. The number of such algebras is also calculated.
DOI : 10.4153/CMB-1986-036-1
Mots-clés : primary 17A99, secondary 20B25, Transitive groups, automorphism groups, Kostrikin algebras, homogeneous algebras, automorphic algebras
Sweet, L. G.; MacDougall, J. A. Algebras with Transitive Automorphism Groups. Canadian mathematical bulletin, Tome 29 (1986) no. 2, pp. 224-226. doi: 10.4153/CMB-1986-036-1
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