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A new combinatorial approach to M24

  • R. T. Curtis (a1)
Abstract

In this paper, we define M24 from scratch as the subgroup of S24 preserving a Steiner system S(5, 8, 24). The Steiner system is produced and proved to be unique and the group emerges naturally with many of its properties apparent.

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References
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(1)Curtis R. T. On the Mathieu Group M 24 and Related Topics. Ph.D. Thesis, Cambridge1972.
(2)Conway J. H. Three Lectures on Exceptional Groups. Chap. VII in Finite Simple Groups (M. B. Powell and G. Higman).
(3)Todd J. A.Ann. Mat. Pura Appl. series IV, 71 (1966), 199238.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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