✦ LIBER ✦
On the Bass–Lubotzky Question about Quotients of Hyperbolic Groups
✍ Scribed by A.Yu. Ol'shanskii
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 99 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
We prove at Theorem 1 that any non-elementary hyperbolic group G possesses a non-trivial finitely presented quotient Q having no non-trivial subgroups of finite indices. The theorem was ''commissioned'' in August 1997 by H. Bass and A. Lubotzky because the statement was required to constructing of their counterw x examples to Platonov's conjecture on the representation rigid linear groups BL . Theorem 2 gives three equivalent reformulations of the known problem on existence of non-residually finite hyperbolic groups. ᮊ 2000 Academic Press defined.