CLASSIFICATION OF SUBALGEBRAS OF THE CAYLEY ALGEBRA OVER A FINITE FIELD

Autor(es)

Grishkov, Alexander N. ^[1] ; Merlini Giuliani, Maria De Lourdes ^[2] ; Zavarnitsine, Andrei V. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Matemat, BR-05311970 Sao Paulo - Brazil

^[2] Univ Fed Santa Maria, Dept Matemat, BR-97119900 Santa Maria, RS - Brazil

^[3] Sobolev Inst Math, Novosibirsk 630090 - Russia

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 9, n. 5, p. 791-808, OCT 2010.
• Citações Web of Science: 1

Resumo

We classify all unital subalgebras of the Cayley algebra O(q) over the finite field F(q), q = p(n). We obtain the number of subalgebras of each type and prove that all isomorphic subalgebras are conjugate with respect to the automorphism group of O(q). We also determine the structure of the Moufang loops associated with each subalgebra of O(q). (AU)

• Processo FAPESP: 04/07181-1 - Maria de Lourdes Merlini Giuliani | Universidade Federal de Santa Maria/UFSM - Brasil
• Beneficiário: Alexandre Grichkov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil