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Infinite Families of Regular, Aspherical Two‐Complexes with the Same Euler Characteristic
Author(s) -
Brown Paul R.
Publication year - 1999
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609398004913
Subject(s) - mathematics , mathematics subject classification , transitive relation , pure mathematics , automorphism , euler characteristic , euler's formula , prime (order theory) , group (periodic table) , combinatorics , mathematical analysis , quantum mechanics , physics
A regular 2‐complex has a group of cellular automorphisms which is transitive on 2‐cells. Let p bean 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. 1991 Mathematics Subject Classification 20F32, 57M20, 05C25.
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