Geodesic
Small non-associative division algebras up to isotopy
Algebra and discrete mathematics, Tome 9 (2010) no. 1, pp. 103-108.

Voir la notice de l'article provenant de la source Math-Net.Ru

We classify small, non-associative division algebras up to isotopy. We reduce the classification problem to an involved case distinction that a computer program can solve. As a result, we classify algebras with 4, 8, 16, and 9 elements. In particular, we show that non-associative division algebras of size 4, 8, and 9 are isotopes of a Galois field, whereas there are three isotopy classes of division algebras with 16 elements.
Keywords: isotopy.
Mots-clés : Non-associative division algebras 
@article{ADM_2010_9_1_a8,
     author = {Thomas Schwarz and S.J.},
     title = {Small non-associative division algebras up to isotopy},
     journal = {Algebra and discrete mathematics},
     pages = {103--108},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2010_9_1_a8/}
}
TY  - JOUR
AU  - Thomas Schwarz
AU  - S.J.
TI  - Small non-associative division algebras up to isotopy
JO  - Algebra and discrete mathematics
PY  - 2010
SP  - 103
EP  - 108
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2010_9_1_a8/
LA  - en
ID  - ADM_2010_9_1_a8
ER  - 
%0 Journal Article
%A Thomas Schwarz
%A S.J.
%T Small non-associative division algebras up to isotopy
%J Algebra and discrete mathematics
%D 2010
%P 103-108
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2010_9_1_a8/
%G en
%F ADM_2010_9_1_a8
Thomas Schwarz; S.J. Small non-associative division algebras up to isotopy. Algebra and discrete mathematics, Tome 9 (2010) no. 1, pp. 103-108. http://geodesic.mathdoc.fr/item/ADM_2010_9_1_a8/