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On the vanishing of the lower K-theory of the holomorph of a free group on two generators
-
Vassilis Metaftsis
und
Stratos Prassidis
Veröffentlicht/Copyright:
29. Juni 2012
Abstract.
We show that the holomorph of the free group on two generators satisfies the Farrell–Jones Fibered Isomorphism Conjecture. As a consequence, we show that the lower K-theory of the above group vanishes.
Keywords: Lower K-theory; lower K-groups; holomorph; free groups; Farrell–Jones Isomorphism Conjecture; virtually cyclic groups
Received: 2010-04-19
Revised: 2010-09-10
Published Online: 2012-06-29
Published in Print: 2012-07-01
© 2012 by Walter de Gruyter Berlin Boston
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- Logarithmically improved regularity criteria for the 3D viscous MHD equations
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Schlagwörter für diesen Artikel
Lower K-theory;
lower K-groups;
holomorph;
free groups;
Farrell–Jones Isomorphism Conjecture;
virtually cyclic groups
Artikel in diesem Heft
- Masthead
- Representations of quivers over a ring and the Weak Krull–Schmidt Theorems
- Logarithmically improved regularity criteria for the 3D viscous MHD equations
- Tilting modules and universal localization
- A bound on the degree of schemes defined by quadratic equations
- Hardy's inequality in the scope of Dirichlet forms
- On some Banach spaces of martingales associated with function spaces
- Construction of quasi-periodic response solutions in forced strongly dissipative systems
- On the description of Leibniz superalgebras of nilindex
- Presentations of graph braid groups
- On the vanishing of the lower K-theory of the holomorph of a free group on two generators
- Boundedly generated subgroups of finite groups
