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A construction of highly dimensional hyperbolic Coxeter groups Damian Osajda

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A construction of highly dimensional hyperbolic Coxeter groups

Damian Osajda

Abstract: I will present a simple combinatorial construction of Gromov hyperbolic right-angled Coxeter group in arbitrarily high dimensions. It is the simplest con- struction of high dimensional hyperbolic groups known to me. Variants of the construction provides new examples of systolic groups and of asymptotically hered- itarily aspherical groups.

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