Artículos de revistas
SIGMA THEORY AND TWISTED CONJUGACY CLASSES
Fecha
2010Registro en:
PACIFIC JOURNAL OF MATHEMATICS, v.247, n.2, p.335-352, 2010
0030-8730
Autor
GONCALVES, Daciberg
KOCHLOUKOVA, Dessislava Hristova
Institución
Resumen
Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index in Aut(G) such that for phi is an element of H the Reidemeister number R(phi) is infinite. This includes all finitely generated nonpolycyclic groups G that fall into one of the following classes: nilpotent-by-abelian groups of type FP(infinity); groups G/G `` of finite Prufer rank; groups G of type FP(2) without free nonabelian subgroups and with nonpolycyclic maximal metabelian quotient; some direct products of groups; or the pure symmetric automorphism group. Using a different argument we show that the result also holds for 1-ended nonabelian nonsurface limit groups. In some cases, such as with the generalized Thompson`s groups F(n,0) and their finite direct products, H = Aut(G).