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INFINITE FAMILIES OF REGULAR, ASPHERICAL TWO-COMPLEXES WITH THE SAME EULER CHARACTERISTIC

Published online by Cambridge University Press:  01 January 1999

PAUL R. BROWN
PAUL R. BROWN
Affiliation:
Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA
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Abstract

A regular 2-complex has a group of cellular automorphisms which is transitive on 2-cells. Let p be an odd prime. By generalizing an example of Floyd and Parry [5], we obtain infinite families of compact, aspherical, regular 2-complexes with Euler characteristic p and infinite hyperbolic fundamental group.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 1 , January 1999 , pp. 35 - 42
Copyright
© The London Mathematical Society 1999

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