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Cohomology of the Double Cover of the Mathieu Group M12

✍ Scribed by D.J. Benson; J.F. Carlson

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
261 KB
Volume
226
Category
Article
ISSN
0021-8693

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✦ Synopsis

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-Serre spectral sequence of the central extension, and this gets us as far as the E page.

Ο± Ungrading requires restriction to the Sylow 2-subgroup, and here some computer calculations come to our rescue.

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