Computing Bredon homology of groups

A. T. Bui; Graham Ellis

doi:10.1007/s40062-016-0146-y

Computing Bredon homology of groups

A. T. Bui, Graham Ellis

Mathematics

University of Science Ho Chi Minh City

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

We describe the basic ingredients of a general computational framework for performing machine calculations in the cohomology of groups. This has been implemented in the GAP system for computational algebra and the paper is intended to aid those wishing to extend that implementation to their own needs.

Original language	English
Pages (from-to)	715-734
Number of pages	20
Journal	Journal of Homotopy and Related Structures
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/s40062-016-0146-y
Publication status	Published - 1 Dec 2016

Keywords

Bredon homology and cohomology
Bredon module
Classifying space for proper actions
Cohomology of groups

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10.1007/s40062-016-0146-y

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title = "Computing Bredon homology of groups",

abstract = "We describe the basic ingredients of a general computational framework for performing machine calculations in the cohomology of groups. This has been implemented in the GAP system for computational algebra and the paper is intended to aid those wishing to extend that implementation to their own needs.",

keywords = "Bredon homology and cohomology, Bredon module, Classifying space for proper actions, Cohomology of groups",

author = "Bui, \{A. T.\} and Graham Ellis",

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AU - Ellis, Graham

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AB - We describe the basic ingredients of a general computational framework for performing machine calculations in the cohomology of groups. This has been implemented in the GAP system for computational algebra and the paper is intended to aid those wishing to extend that implementation to their own needs.

KW - Bredon homology and cohomology

KW - Bredon module

KW - Classifying space for proper actions

KW - Cohomology of groups

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DO - 10.1007/s40062-016-0146-y

M3 - Article

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JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

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ER -

Computing Bredon homology of groups

Abstract

Keywords

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