Group elements conjugate to their powers and Bass’ conjecture
Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 223-236.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2008.v10.n1.a9
Classification : 16E40, 20C07, 20J05
Keywords: Bass’ conjecture, cup product, group acting on trees
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Dimitrios Panagopoulos. Group elements conjugate to their powers and Bass’ conjecture. Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 223-236. doi : 10.4310/HHA.2008.v10.n1.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n1.a9/

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