INFINITELY MANY COMMENSURABILITY CLASSES OF POLY-SURFACE GROUPS

Authors
JOHNSON F
Citation
F. Johnson, INFINITELY MANY COMMENSURABILITY CLASSES OF POLY-SURFACE GROUPS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(4), 1996, pp. 325-328
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
4
Year of publication
1996
Pages
325 - 328
Database
ISI
SICI code
0764-4442(1996)323:4<325:IMCCOP>2.0.ZU;2-2
Abstract
A group is said to be poly-Surface when it is formed by iterated exten sion with successive quotients in S, the class of fundamental groups o f orientable surfaces of genus greater than or equal to 2. Here we sho w that fop each n greater than or equal to 2, the irreducible poly-S g roups of dimension 2n represent infinitely many distinct commensurabil ity classes.