The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay

Simon A King; David Green; Graham J. Ellis

doi:10.13025/28968

The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay

Simon A King
, David Green
, Graham J. Ellis

Mathematics

Friedrich Schiller University Jena

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

4 Citations (Scopus)

Abstract

By explicit machine computation we obtain the mod-2 cohomology ring of the third Conway group Co₃. It is Cohen-Macaulay, has dimension 4, and is detected on the maximal elementary abelian 2-subgroups.

Original language	English
Pages (from-to)	719-734
Number of pages	16
Journal	Algebraic and Geometric Topology
Volume	11
Issue number	2
DOIs	https://doi.org/10.13025/28968 https://doi.org/10.2140/agt.2011.11.719
Publication status	Published - 2011

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10.13025/28968Licence: CC BY-NC-ND
10.2140/agt.2011.11.719

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title = "The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay",

abstract = "By explicit machine computation we obtain the mod-2 cohomology ring of the third Conway group Co3. It is Cohen-Macaulay, has dimension 4, and is detected on the maximal elementary abelian 2-subgroups.",

author = "King, \{Simon A\} and David Green and Ellis, \{Graham J.\}",

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journal = "Algebraic and Geometric Topology",

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AU - King, Simon A

AU - Green, David

AU - Ellis, Graham J.

PY - 2011

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N2 - By explicit machine computation we obtain the mod-2 cohomology ring of the third Conway group Co3. It is Cohen-Macaulay, has dimension 4, and is detected on the maximal elementary abelian 2-subgroups.

AB - By explicit machine computation we obtain the mod-2 cohomology ring of the third Conway group Co3. It is Cohen-Macaulay, has dimension 4, and is detected on the maximal elementary abelian 2-subgroups.

UR - http://hdl.handle.net/10379/12275

UR - https://www.scopus.com/pages/publications/79957653351

U2 - 10.13025/28968

DO - 10.13025/28968

M3 - Article

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VL - 11

SP - 719

EP - 734

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 2

ER -

The mod-2 cohomology ring of the third Conway group is Cohen-Macaulay

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