Improper actions and higher connectivity at infinity | Zendy

Kenneth S. Brown | Zendy; John Meier | Zendy

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Improper actions and higher connectivity at infinity

Author(s) -

Kenneth S. Brown,

John Meier

Publication year - 2000

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.1007/s000140050118

Subject(s) - infinity , mathematics , action (physics) , group action , duality (order theory) , group (periodic table) , pure mathematics , topology (electrical circuits) , combinatorics , mathematical analysis , chemistry , physics , organic chemistry , quantum mechanics

. Given an improper action (= cell stabilizers are infinite) of a group G on a CW-complex , 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.

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