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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

The uniqueness of groups of Lyons type

Author(s): Michael Aschbacher; Yoav Segev
Journal: J. Amer. Math. Soc. 5 (1992), 75-98.
MSC: Primary 20D08
MathSciNet review: 1124978
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L. Finkelstein, The maximal subgroups of Conway's group $ {C_3}$ and the McLaughlin's group, J. Algebra 25 (1973), 58-89. MR 0346046 (49:10772)

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G. James, The modular characters of the Mathieu groups, J. Algebra 27 (1973), 57-111. MR 0330277 (48:8614)

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Z. Janko and S. Wong, A characteristic of the McLaughlin's simple group, J. Algebra 20 (1972), 203-225. MR 0302756 (46:1899)

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R. Lyons, Evidence for a new finite simple group, J. Algebra 20 (1972), 540-569. MR 0299674 (45:8722)

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D. Quillen, Homotopy properties of the poset of nontrivial $ p$-subgroups, Adv. in Math. 28 (1978), 101-128. MR 493916 (80k:20049)

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C. Sims, The existence and uniqueness of Lyons' group, Gainesville Conference on Finite Groups, North-Holland, Amsterdam, 1973, pp. 138-141. MR 0354881 (50:7358)

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J. Conway, et al., Atlas of finite groups, Clarendon Press, Oxford, 1985. MR 827219 (88g:20025)

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Additional Information:

DOI: 10.1090/S0894-0347-1992-1124978-X
PII: S0894-0347-1992-1124978-X
Copyright of article: Copyright 1992, American Mathematical Society




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