2014/02/03 by Eliyahu Matzri, Matzri, Eliyahu
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA
paper · pdf · doi:10.48550/arxiv.1402.0328
arxiv created 2014/02/03 · openalex publication_date 2014/02/03 · arxiv updated 2014/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let A be the generic abelian crossed product with respect to ℤ3× ℤ3, in this note we show that A is similar to the tensor product of 4 symbol algebras (3 of degree 9 and one of degree 3) and if A is of exponent 3 it is similar to the product of 31 symbol algebras of degree 3. We then use \citeRS to prove that if A is any algebra of degree 9 then A is similar to the product of 35840 symbol algebras (8960 of degree 3 and 26880 of degree 9) and if A is of exponent 3 it is similar to the product of 277760 symbol algebras of degree 3. We then show that the essential 3-dimension of the class of A is at most 6.