- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:59
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
4
2010
4
The cyclically presented groups with relators xi xi+k xi+l
Martin
Edjvet
University of Nottingham, NOTTINGHAM, UNITED KINGDOM
Gerald
Williams
Essex University, COLCHESTER, ESSEX, UNITED KINGDOM
Cyclically presented group, asphericity
Continuing Cavicchioli, Repovš, and Spaggiari’s investigations into the cyclic presentations < x1, … , xn | xi xi+k xi+l = 1 (1 ≤ i ≤ n) > we determine when they are aspherical and when they define finite groups; in these cases we describe the groups’ structures. In many cases we show that if the group is infinite then it contains a non-abelian free subgroup.
Group theory and generalizations
General
759
775
10.4171/GGD/104
http://www.ems-ph.org/doi/10.4171/GGD/104