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.
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
@article{10_4153_CMB_1986_036_1,
author = {Sweet, L. G. and MacDougall, J. A.},
title = {Algebras with {Transitive} {Automorphism} {Groups}},
journal = {Canadian mathematical bulletin},
pages = {224--226},
year = {1986},
volume = {29},
number = {2},
doi = {10.4153/CMB-1986-036-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-036-1/}
}
TY - JOUR AU - Sweet, L. G. AU - MacDougall, J. A. TI - Algebras with Transitive Automorphism Groups JO - Canadian mathematical bulletin PY - 1986 SP - 224 EP - 226 VL - 29 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-036-1/ DO - 10.4153/CMB-1986-036-1 ID - 10_4153_CMB_1986_036_1 ER -
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