Linkage of sets of cyclic algebras

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:226

Article

Chapman, Adam¹ 

[1] Acad Coll Tel Aviv Yaffo, Sch Comp Sci, Rabenu Yeruham St,POB 8401, IL-6818211 Yaffo, Israel

关键词: Division algebras;    Cyclic algebras;    Valuation theory;    Linkage;    Fields of positive characteristic;   

DOI  :  10.1016/j.jpaa.2021.106855

来源: Elsevier

【 摘 要 】

Let p be a prime integer and F the function field in two algebraically independent variables over a smaller field F-0. We prove that if char(F-0) = p >= 3 then there exist p(2) - 1 cyclic algebras of degree p over F that have no maximal subfield in common, and if char(F-0) = 0 then there exist p(2) cyclic algebras of degree p over F that have no maximal subfield in common. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free