In:
Glasgow Mathematical Journal, Cambridge University Press (CUP), Vol. 22, No. 1 ( 1981-01), p. 1-7
Abstract:
In this note homomorphisms of (2, 3, n ) = 〈x, y: x 2 = y 3 = (xy) n = 1) into PSL 3 (q) are considered. Of particular interest is (2, 3, 7) whose finite factors are referred to as Hurwitz groups. It is known (see [3]) that for certain q, PSL 2 (q) is a Hurwitz group, so that one might suppose that PSL 3 (q) is a natural place to search for new Hurwitz groups. This intuition turns out to be ill-founded, for as we shall see all Hurwitz subgroups of PSL 3 (q) have already been discovered in [3].
Type of Medium:
Online Resource
ISSN:
0017-0895
,
1469-509X
DOI:
10.1017/S0017089500004419
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1981
detail.hit.zdb_id:
1465410-6
SSG:
17,1
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