๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Critical densities for random quotients of hyperbolic groups

โœ Scribed by Yann Ollivier

Book ID
104447669
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
83 KB
Volume
336
Category
Article
ISSN
1631-073X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On the Bassโ€“Lubotzky Question about Quot
On the Bassโ€“Lubotzky Question about Quotients of Hyperbolic Groups
โœ A.Yu. Ol'shanskii ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 99 KB

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 t

Fuchsian groups, coverings of Riemann su
Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks
โœ Martin W. Liebeck; Aner Shalev ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 474 KB

Fuchsian groups (acting as isometries of the hyperbolic plane) occur naturally in geometry, combinatorial group theory, and other contexts. We use character-theoretic and probabilistic methods to study the spaces of homomorphisms from Fuchsian groups to symmetric groups. We obtain a wide variety of

Expected density of complex zeros of ran
Expected density of complex zeros of random hyperbolic polynomials
โœ K. Farahmand; A. Grigorash ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 335 KB

There are many known asymptotic estimates for the expected number of real zeroe of polynomial &(z) = rn coeh CL + ~2 coeh 2(z + . . . +q,,ccehn<z, where qj, j = 1,2,3 ,..., n ie a sequence of independent random variables. This paper provides the asymptotic formula for the expected density of complex