On higher nil groups of group rings

Juan-Pineda, Daniel

doi:10.4310/hha.2007.v9.n2.a3

Search citation statements

Order By: Relevance

Paper Sections

Select...

Examples1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2011

2013

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For N K 2 , some non-vanishing results have been obtained. For instance, Juan-Pineda [JP07] has shown that N K 2 (Z[Z 2 ]) is infinitely generated. Since this group is a summand inside N IL 2 (n) whenever n ≥ 3, this tells us that K 2 (ZΓ n ) is infinitely generated for n ≥ 3.…”

Section: Examplesmentioning

confidence: 99%

Algebraic K-theory of virtually free groups

Juan-Pineda

Lafont

Millan-Vossler

et al. 2011

Proceedings of the Royal Society of Edinburgh: Section A Mathem

View full text Add to dashboard Cite

Abstract. We provide a general procedure for computing the algebraic Ktheory of finitely generated virtually free groups. The procedure describes these groups in terms of (1) the algebraic K-theory of various finite subgroups, and (2) various Farrell Nil-groups. We illustrate the 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 already existing in the literature. The last two classes of examples yield new computations.

show abstract

Section: Examplesmentioning

confidence: 99%