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This paper is a sequel to Curtis [7], where the Held group was constructed using a 7-modular monomial representation of 3 · A 7 , the exceptional triple cover of the alternating group A 7. In this paper, a 5-modular monomial representation of 2 · HS:2, a double cover of the automorphism group of the Higman–Sims group, is used to build an infinite… (More)

- SEAN W. BOLT, JOHN N. BRAY, ROBERT T. CURTIS
- 2007

We demonstrate how readily a definition of the largest Janko group J 4 follows from a primitive action of the Mathieu group M 24 by exhibiting J 4 as an image of the progenitor 2 3795 :M 24. This symmetric presentation is converted into an ordinary presentation on three generators.

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