Aspects of non positive curvature for linear groups with no infinite order unipotents
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EMS
https://doi.org/10.4171/ggd/484
https://doi.org/10.4171/ggd/484
Abstract
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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.
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