Title	Polynomials over central division algebras (joint with Shira Gilat)
Creator	Matzri, Eli
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-09-08T09:10
Description	Let $F$ be a field which is prime to $p$ closed. We show that any twisted polynomial in $D[y,\sigma]$ of degree at most $p-1$ ($K/F$ a cyclic Galois extension of degree $p$) splits into linear factors. As an application we show that a standard Kummer space is a degree $p$ symbol algebra $D=(a,b)_{p,F}$ generates the multiplicative group $D^{\times}$. We also show that $GL_p(F)$ is also generated by any standard Kummer space.
Extent	26.0 minutes
Subject	Mathematics; Group theory and generalizations; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Bar-Ilan University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-03-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0396062
URI	http://hdl.handle.net/2429/77473
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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