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A method for constructing a group from a subgroup

Part of the Lecture Notes in Mathematics book series (LNM,volume 697)

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References

  1. Donald G. Higman and Charles C. Sims, "A simple group of order 44,352,000", Math. Z. 105 (1968), 110–113.

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  2. B. Huppert, Endliche Gruppen I (Die Grundlehren der mathematischen Wissenschaften, 134. Springer-Verlag, Berlin, Heidelberg, New York, 1967).

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  3. Jeffrey S. Leon and Charles C. Sims, "The existence and uniqueness of a simple group generated by {3, 4}-transpositions", Bull. Amer. Math. Soc. 83 (1977), 1039–1040.

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  4. Michael E. O'Nan, "Some evidence for the existence of a new simple group", Proc. London Math. Soc. 32 (1976), 421–479.

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  5. J. Schur, "Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen", J. reine angew. Math. 139 (1911), 155–250.

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  6. Charles C. Sims, "The existence and uniqueness of Lyons' groups", Finite Groups ′72 (Proc. Gainesville Conf., 1972, 138–141. North-Holland Mathematics Studies, 7. North-Holland, Amsterdam, London; American Elsevier, New York, 1973).

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  7. Helmut Wielandt, Finite Permutation Groups (translated from German by R. Bercov. Academic Press, New York, London, 1964).

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© 1978 Springer-Verlag

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Sims, C.C. (1978). A method for constructing a group from a subgroup. In: Newman, M.F., Richardson, J.S. (eds) Topics in Algebra. Lecture Notes in Mathematics, vol 697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103127

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  • DOI: https://doi.org/10.1007/BFb0103127

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  • Print ISBN: 978-3-540-09103-5

  • Online ISBN: 978-3-540-35549-6

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