Pregled bibliografske jedinice broj: 430816
Wythoff polytopes and low-dimensional homology of Mathieu groups
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 (međunarodna recenzija, članak, znanstveni)
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Naslov
Wythoff polytopes and low-dimensional homology of Mathieu groups
Autori
Dutour Sikirić, Mathieu ; Ellis, Graham
Izvornik
Journal of Algebra (0021-8693) 322
(2009), 11;
4143-4150
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Group homology ; Resolution ; Polytope ; Wythoff construction
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
098-0982705-2707 - Matematičko modeliranje cirkulacije i satelitska detekcija graničnih procesa (Kuzmić, Milivoj, MZOS ) ( CroRIS)
Ustanove:
Institut "Ruđer Bošković", Zagreb
Profili:
Mathieu Dutour Sikirić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
