Homology, Homotopy and Applications

Volume 10 (2008)

Number 1

Group elements conjugate to their powers and Bass’ conjecture

Pages: 223 – 236

DOI: http://dx.doi.org/10.4310/HHA.2008.v10.n1.a9


Dimitrios Panagopoulos (Department of Mathematics, University of Athens, Greece)


In this paper, we use some specific properties that are enjoyed by group elements with non-zero Hattori-Stallings rank function and define, by homological means, a large class of groups that satisfy Bass’ conjecture. We examine closure properties of that class and exhibit certain examples of groups which are contained therein.


Bass’ conjecture, cup product, group acting on trees

2010 Mathematics Subject Classification

16E40, 20C07, 20J05

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