The Coxeter group G5,5,12
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2023-11-08 17:41
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ASHIQ, Muhammad, IMRAN, Tahir. The Coxeter group G5,5,12. In: Quasigroups and Related Systems, 2015, vol. 23, nr. 2(34), pp. 175-180. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 23, Numărul 2(34) / 2015 / ISSN 1561-2848

The Coxeter group G5,5,12
CZU: 512.547

Pag. 175-180

Ashiq Muhammad, Imran Tahir
 
National University of Sciences and Technology (NUST)
 
 
Disponibil în IBN: 5 mai 2016


Rezumat

The groups Gl;m;n are studied extensively by Coxeter. Higman has posed the question that how small l; m; n can be made while maintaining the property that all but _nitely many alternating and symmetric groups are quotients of Gl;m;n. In this paper, by using the coset diagrams, we have proved that for all but _nitely many positive integers n either An or Sn are quotients of G5;5;12: