The subgroup structure of the Higman-Sims simple group
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- by Spyros S. Magliveras PDF
- Bull. Amer. Math. Soc. 77 (1971), 535-539
References
- Donald G. Higman, Primitive rank $3$ groups with a prime subdegree, Math. Z. 91 (1966), 70–86. MR 218440, DOI 10.1007/BF01113853
- Donald G. Higman and Charles C. Sims, A simple group of order $44,352,000$, Math. Z. 105 (1968), 110–113. MR 227269, DOI 10.1007/BF01110435
- Graham Higman, On the simple group of D. G. Higman and C. C. Sims, Illinois J. Math. 13 (1969), 74–80. MR 240193 4. D. Hunt, The Higman-Sims simple group, M. Sci. Thesis, Warwick University, England, 1968.
- Zvonimir Janko and S. K. Wong, A characterization of the Higman-Sims simple group, J. Algebra 13 (1969), 517–534. MR 260866, DOI 10.1016/0021-8693(69)90114-8
- Charles C. Sims, On the isomorphism of two groups of order $44,352,000$, Theory of Finite Groups (Symposium, Harvard Univ., Cambridge, Mass., 1968), Benjamin, New York, 1969, pp. 101–108. MR 0248215 7. M. S. Smith, On the isomorphism of two simple groups of order 44, 352, 000 (unpublished). 8. M. S. Smith, A combinatorial configuration associated with the Higman-Sims simple group (unpublished).
- Spyros S. Magliveras, The subgroup structure of the Higman-Sims simple group, Bull. Amer. Math. Soc. 77 (1971), 535–539. MR 283077, DOI 10.1090/S0002-9904-1971-12743-X
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 535-539
- MSC (1970): Primary 20D05, 20B25
- DOI: https://doi.org/10.1090/S0002-9904-1971-12743-X
- MathSciNet review: 0283077