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On the vanishing of the lower K-theory of the holomorph of a free group on two generators
-
Vassilis Metaftsis
and
Stratos Prassidis
Published/Copyright:
June 29, 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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Keywords for this article
Lower K-theory;
lower K-groups;
holomorph;
free groups;
Farrell–Jones Isomorphism Conjecture;
virtually cyclic groups
Articles in the same Issue
- Masthead
- Representations of quivers over a ring and the Weak Krull–Schmidt Theorems
- Logarithmically improved regularity criteria for the 3D viscous MHD equations
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