Topological methods in group theory

Scott, Peter; Wall, Terry

doi:10.1017/cbo9781107325449.007

Cited by 257 publications

(277 citation statements)

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“…There is fortunately the following quite useful structure theorem for this subclass due to Scott and Wall [36]; cf. [19, Lemma 2.5] for another proof.…”

Section: Preliminary Resultsmentioning

confidence: 99%

Whitehead groups and the Bass conjecture

Farrell

Linnell

2003

Mathematische Annalen

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“…There is fortunately the following quite useful structure theorem for this subclass due to Scott and Wall [36]; cf. [19, Lemma 2.5] for another proof.…”

Section: Preliminary Resultsmentioning

confidence: 99%

Whitehead groups and the Bass conjecture

Farrell

Linnell

2003

Mathematische Annalen

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“…The construction of the complex Y and projection π is very similar to the Scott and Wall "ball-and-stick" construction for groups acting on simplicial trees [24]. For details on the construction in dimension two, see [11], [16] and [23].…”

Section: Definitions and Backgroundmentioning

confidence: 96%

Improper actions and higher connectivity at infinity

Brown¹,

Meier²

2000

Comment. Math. Helv.

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Abstract. Given an improper action (= cell stabilizers are infinite) of a group G on a CWcomplex X , we present criteria, based on connectivity at infinity properties of the cell stabilizers under the action of G that imply connectivity at infinity properties for G. A refinement of this idea yields information on the topology at infinity of Artin groups, and it gives significant progress on the question of which Artin groups are duality groups.Mathematics Subject Classification (1991). 57M07, 20F65, 20F36.

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“…The classification of infinite virtually cyclic groups is well known (see for instance Scott and Wall [SW79]), and such groups come in two flavors:…”

Section: The Procedure: General Casementioning

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

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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.

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Topological methods in group theory

Cited by 257 publications

References 0 publications

Whitehead groups and the Bass conjecture

Whitehead groups and the Bass conjecture

Improper actions and higher connectivity at infinity

Algebraic K-theory of virtually free groups

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