Aspects of non positive curvature for linear groups with no infinite order unipotents
Accepted version
Peer-reviewed
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Repository DOI
Change log
Authors
Button, JO
Abstract
We show that a linear group without unipotent elements of infinite order possesses properties akin to those held by groups of non positive curvature. Moreover in positive characteristic any finitely generated linear group acts properly and semisimply on a CAT(0) space. We present applications, including that the mapping class group of a surface having genus at least 3 has no faithful linear representation which is complex unitary or over any field of positive characteristic.
Description
Keywords
4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
Groups Geometry and Dynamics
Conference Name
Journal ISSN
1661-7207
1661-7215
1661-7215
Volume Title
13
Publisher
EMS
Publisher DOI
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None