izvor podataka: crosbi
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Wythoff polytopes and low-dimensional homology of Mathieu groups (CROSBI ID 156038)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Dutour Sikirić, Mathieu ; Ellis, Graham
Wythoff polytopes and low-dimensional homology of Mathieu groups // Journal of algebra, 322 (2009), 11; 4143-4150. doi: 10.1016/j.jalgebra.2009.09.031
Podaci o odgovornosti
Dutour Sikirić, Mathieu ; Ellis, Graham
engleski
Wythoff polytopes and low-dimensional homology of Mathieu groups
We describe two methods for computing the low-dimensional integral homology of the Mathieu simple groups and use them to make computations such as H5(M23, Z)=Z7 and H3(M24, Z)=Z12. One method works via Sylow subgroups. The other method uses a Wythoff polytope and perturbation techniques to produce an explicit free ZM_n-resolution. Both methods apply in principle to arbitrary finite groups.
Group homology ; Resolution ; Polytope ; Wythoff construction
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