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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

CLASSIFICATION OF SUBALGEBRAS OF THE CAYLEY ALGEBRA OVER A FINITE FIELD

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Author(s):
Grishkov, Alexander N. [1] ; Merlini Giuliani, Maria De Lourdes [2] ; Zavarnitsine, Andrei V. [3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 9, n. 5, p. 791-808, OCT 2010.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 04/07181-1 - Maria de Lourdes Merlini Giuliani | Universidade Federal de Santa Maria/UFSM - Brazil
Grantee:Alexandre Grichkov
Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil