Abstract
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 [9] to prove that if A is any algebra of degree 9 then A is similar to the product of 35. 840 symbol algebras (8960 of degree 3 and 26. 880 of degree 9) and if A is of exponent 3 it is similar to the product of 277. 760 symbol algebras of degree 3. We then show that the essential 3-dimension of the class of A is at most 6. © 2014 Elsevier Inc.
Original language | English |
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Pages (from-to) | 1-7 |
Number of pages | 7 |
Journal | Journal of Algebra |
Volume | 418 |
DOIs | |
State | Published - 1 Nov 2014 |
Bibliographical note
Cited By :2Export Date: 23 March 2022
CODEN: JALGA
Correspondence Address: Matzri, E.
Funding details: United States-Israel Binational Science Foundation, BSF, 2010149
Funding text 1: This work was supported by the United States-Israel Binational Science Foundation (Grant No. 2010149 ).
Keywords
- Abelian crossed products
- Brauer group
- Division algebras