Equations in matrix groups and algebras over number fields and rings: Prolegomena to a lowbrow noncommutative diophantine geometry

Boris Kunyavskiĭ

doi:10.1017/cbo9781316106877.016

Equations in matrix groups and algebras over number fields and rings: Prolegomena to a lowbrow noncommutative diophantine geometry

Boris Kunyavskiĭ

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

Abstract

We give a brief survey of some problems related to the solvability of word equations in matrix groups and polynomial equations in matrix algebras, focusing on the cases where the matrix entries belong to a global field or its ring of integers.

Original language	English
Title of host publication	Arithmetic and Geometry
Publisher	Cambridge University Press
Pages	264-282
Number of pages	19
ISBN (Electronic)	9781316106877
ISBN (Print)	9781107462540
DOIs	https://doi.org/10.1017/cbo9781316106877.016
State	Published - 1 Jan 2015

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© Cambridge University Press 2015.

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10.1017/cbo9781316106877.016

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Equations in matrix groups and algebras over number fields and rings: Prolegomena to a lowbrow noncommutative diophantine geometry

Abstract

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