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.
|Number of pages||7|
|Journal||Journal of Algebra|
|Early online date||30 May 2006|
|Publication status||Published - 1 Dec 2006|