Pure braid groups are not residually free

Daniel C. Cohen; Michael Falk; Richard Randell

Pure braid groups are not residually free

Daniel C. Cohen, Michael Falk, Richard Randell

Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

5 Scopus citations

Abstract

We show that the Artin pure braid group P_n is not residually free for n ≥ 4. Our results also show that the corank of P_n is equal to 2 for n ≥ 3.

Original language	English (US)
Title of host publication	Configuration Spaces
Subtitle of host publication	Geometry, Combinatorics and Topology
Publisher	Scuola Normale Superiore
Pages	213-230
Number of pages	18
ISBN (Electronic)	9788876424311
ISBN (Print)	9788876424304
State	Published - Jan 1 2012

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Pure braid groups are not residually free",

abstract = "We show that the Artin pure braid group Pn is not residually free for n ≥ 4. Our results also show that the corank of Pn is equal to 2 for n ≥ 3.",

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AU - Randell, Richard

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EP - 230

BT - Configuration Spaces

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ER -

Pure braid groups are not residually free

Abstract

ASJC Scopus subject areas

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