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On Hurwitz extensions by PSL2(7)

  • Jeffrey M. Cohen (a1)

In this paper, a new family of factors of (2, 3, 7) is obtained which contains groups found in three other papers. It is shown that for all n, there exists an m such that there are at least n isomorphism types of Hurwitz groups of order m. Finally, presentations for all groups considered are obtained.

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(2) A. Hurwitz Über algebraische Gebilde mit eindeutigen Transformationen in sich. Math. Annalen 41 (1893), 403442.

(3) F. Klein Über die Transformationen siebenter Ordnung der elliptischen Funktionen. Math. Annalen 14 (1879), 428471.

(9) A. Sinkov On the group-defining relations (2, 3, 7: P), Ann. Math. 38 (1937), 577584.

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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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