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Original Articles

Hurwitz Generation of PSp6(q)

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Pages 4159-4169 | Received 06 Nov 2013, Published online: 06 Jul 2015

REFERENCES

  • Bray , J. , Holt , D. , Roney Dougal , C. ( 2013 ). The maximal subgroups of the low-dimensional finite classical groups . London Mathematical Society Lecture Note Series , Vol. 407 , Cambridge University Press .
  • Burkhardt , R. ( 1976 ). Die Zerlegungsmatrizen der Gruppen PSL(2, p f ) . J. Algebra 40 : 75 – 96 .
  • Cohen , J. ( 1981 ). On non-Hurwitz groups and non-congruence subgroups of the modular group . Glasgow Math. J. 22 : 1 – 7 .
  • Conway , J. H. , Curtis , R. T. , Norton , S. P. , Parker , R. A. , Wilson , R. A. ( 1985 ). Atlas of Finite Groups . Eynsham : Oxford University Press .
  • Hall , P. ( 1936 ). The Eulerian function of a group . Quart. J. Math. 7 : 134 – 151 .
  • Huppert , B. ( 1998 ). Character Theory of Finite Groups . Berlin-New York : Walter de Gruyter .
  • Jansen , C. , Lux , K. , Parker , R. , Wilson , R. ( 1995 ). An Atlas of Brauer Characters. Oxford Science Publications, Clarendon Press .
  • Kleidman , P. ( 1987 ). ‘The maximal subgroups of the low dimensional classical groups’, Ph.D. Thesis, Cambridge .
  • Larsen , M. , Lubotzky , A. , Marion , C. ( 2014 ). Deformation theory and finite simple quotients of triangle groups I . J. Eur. Math. Soc. (JEMS) 16 ( 7 ): 1349 – 1375 .
  • Larsen , M. , Lubotzky , A. , Marion , C. ( 2014 ). Deformation theory and finite simple quotients of triangle groups II . Groups Geom. Dyn. 8 ( 3 ): 811 – 836 .
  • Macbeath , A. M. ( 1969 ). Generators of the linear fractional groups . Proc. Symp. Pure Math. 12 : 14 – 32 .
  • Marion , C. ( 2010 ). On triangle generation of finite groups of Lie type . J. Group Theory 13 : 619 – 648 .
  • Pellegrini , M. A. , Tamburini Bellani , M. C. , Vsemirnov , M. ( 2012 ). Uniform (2, k)-generation of the 4-dimensional classical groups . J. Algebra 369 : 322 – 350 .
  • Scott , L. L. ( 1977 ). Matrices and cohomology . Ann. Math. 105 : 473 – 492 .
  • Strambach , K. , Völklein , H. ( 1999 ). On linearly rigid tuples . J. Reine Angew. Math. 510 : 57 – 62 .
  • Tamburini , M. C. , Vsemirnov , M. ( 2006 ). Irreducible (2, 3, 7)-subgroups of PGL n (F), n ≤ 7 . J. Algebra 300 : 339 – 362 .
  • Tamburini , M. C. , Vsemirnov , M. ( 2006/2009 ). Corrigendum to Irreducible (2, 3, 7) subgroups of PGL n (F), n ≤ 7. J. Algebra 300(1):339–362 . J. Algebra 322 : 4161 – 4162 .
  • Tamburini , M. C. , Vsemirnov , M. ( 2009 ). Irreducible (2, 3, 7)-subgroups of PGL n (F), n ≤ 7, II . J. Algebra 321 ( 8 ): 2119 – 2138 .
  • Tamburini , M. C. , Zalesskii , A. ( 2004 ). Classical groups in dimension 5 which are Hurwitz. Proceedings of the Gainesville Conference on Finite Groups, 2003 . ( Ho , C. Y. , Sin , P. , Tiep , P. H. eds.,). Turull, A. Walter de Gruyter 363 – 371 .
  • Vincent , R. , Zalesski , A. E. ( 2007 ). Non-Hurwitz classical groups . LMS J. Comp. Math. 10 : 21 – 82 .
  • Vsemirnov , M. , Tamburini , M. C. Irreducible (2, 3, 7)-Subgroups of PGLn(F), n ≤ 7, III (in preparation) .
  • Vsemirnov , M. ( 2011 ). More classical groups which are not (2, 3)-generated . Arch. Math. (Basel) 96 ( 2 ): 123 – 129 .
  • Communicated by P. Tiep.

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