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Algebraic K-theory of virtually free groups

Published online by Cambridge University Press:  15 November 2011

D. Juan-Pineda ,
J.-F. Lafont ,
S. Millan-Vossler  and
S. Pallekonda
D. Juan-Pineda
Affiliation:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Campus Morelia, 58089 Morelia, Michoacán, México (daniel@matmor.unam.mx)
J.-F. Lafont
Affiliation:
Department of Mathematics, Ohio State University, Columbus, OH 43210, USA (jlafont@math.ohio-state.edu)
S. Millan-Vossler
Affiliation:
Department of Mathematical Sciences, Binghamton University, Binghamton, New York 13902, USA (millan@math.binghamton.edu)
S. Pallekonda
Affiliation:
Department of Mathematics, King's College, Wilkes-Barre, PA 18711, USA (seshendrapallekonda@kings.edu)
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Abstract

We provide a general procedure for computing the algebraic K-theory of finitely generated virtually free groups. The procedure describes these groups in terms of the algebraic K-theory of various finite subgroups and various Farrell Nil groups. We illustrate this process by carrying out the computation for several interesting classes of examples. The first two classes serve as a check on the method and show that our algorithm recovers results that already exist in the literature. The last two classes of examples yield new computations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 6 , December 2011 , pp. 1295 - 1316
Copyright
Copyright © Royal Society of Edinburgh 2011

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