|
|||||
|
|
|
|
|
|
|
|
|
The mod–$2$ cohomology
ring of the third Conway group is Cohen–Macaulay
Simon A King, David J Green and Graham Ellis |
|
Algebraic & Geometric Topology 11 (2011) 719–734
|
Abstract |
|
By explicit machine computation we obtain the mod– cohomology ring of the third Conway group . It is Cohen–Macaulay, has dimension 4, and is detected on the maximal elementary abelian –subgroups. |
Keywords
cohomology of finite groups, group cohomology, third Conway
group, stable element, Dickson invariant, simple groups
with Cohen–Macaulay cohomology, detection on elementary
abelian subgroups
|
Mathematical Subject Classification 2000
Primary: 20J06
Secondary: 20-04, 20D08
|
References |
Publication
Received: 31 August 2010
Revised: 17 December 2010
Accepted: 22 December 2010
Published: 11 March 2011
|
Authors |
| Simon A King | |
| Mathematical Institute Friedrich-Schiller-Universität Jena D-07737 Jena Germany |
|
| http://users.minet.uni-jena.de/~king/eindex.html | |
| David J Green | |
| Mathematical Institute Friedrich-Schiller-Universität Jena D-07737 Jena Germany |
|
| http://users.minet.uni-jena.de/~green/index-en.php | |
| Graham Ellis | |
| School of Maths, Statistics &
Applied Maths National University of Ireland, Galway University Road Galway Ireland |
|
| http://hamilton.nuigalway.ie/ | |
|
