In this paper we calculate the mod two cohomology of the double cover of the Mathieu group M . The starting point is the calculation by Adem, Maginnis and 12 Milgram of the mod two cohomology of M . We use a hypercohomology spectral 12 sequence to determine a differential in the Lyndon-Hochschild-Se
The Cohomology of the Lyons Group and Double Covers of Alternating Groups
β Scribed by Alejandro Adem; Dikran Karagueuzian; R.James Milgram; Kristin Umland
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 283 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We give a closed formula for the cohomology groups of the standard integer lattice in the simply-connected Heisenberg Lie group of dimension 2 n q 1, n g Z q . We also provide a recursion relation involving n for these cohomology groups.
We define a group theoretical invariant, denoted by s G , as a solution of a certain set covering problem and show that it is closely related to chl(G), the cohomology length of a p-group G. By studying s G we improve the known upper bounds for the cohomology length of a p-group and determine chl(G)