Abstract
We prove that a subgroup of the real 3-dimensional special orthogonal group generated by a pair of rotations of respective orders 4 and 8 (belonging to a family of such groups considered by Radin and Sadun in [C. Raclin, L. Sadun, On 2-generator subgroups of SO(3), Trans. Amer. Math. Soc. 351 (1999) 114469114480]) has an epimorphic image which is one of PSL(2, p), PSL(2, p(2)), PGL(2, p) or PGL(2, P-2) (depending on the congruence of p (mod 16)) for all odd primes p, by considering its reduction (mod p) as a linear group. (c) 2006 Elsevier Inc. All rights reserved.
Original language | English |
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Pages (from-to) | 201-207 |
Number of pages | 7 |
Journal | Journal of Algebra |
Volume | 306 |
Issue number | 1 |
Early online date | 30 May 2006 |
DOIs | |
Publication status | Published - 1 Dec 2006 |