Triples of 2×2 matrices which generate free groups-Reference-Cited by-同舟云学术

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Triples of 2×2 matrices which generate free groups

Published:1976 Issue:1 Volume:59 Page:25-28
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bachmuth S.,Mochizuki H.

Abstract

A theorem is proved which guarantees that certain triples of 2 × 2 2 \times 2 matrices over the complex numbers freely generate a free group. (There is no a priori reason that these matrices lie in a two generator matrix group.)

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-059-01/S0002-9939-1976-0412272-4/S0002-9939-1976-0412272-4.pdf

Reference5 articles.

1. Automorphisms of solvable groups;Bachmuth, S.;Bull. Amer. Math. Soc.,1975

2. Subgroups of 𝐼𝐴 automorphisms of a free group;Chein, Orin;Acta Math.,1969

3. Pairs of real 2-by-2 matrices that generate free products;Lyndon, R. C.;Michigan Math. J.,1968

4. Untersuchungen über einige unendliche diskontinuierliche Gruppen;Magnus, Wilhelm;Math. Ann.,1931

5. A property of a representation of a free group;Sanov, I. N.;Doklady Akad. Nauk SSSR (N. S.),1947

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1. Linear groups related to Fibonacci polynomials;Advanced Studies: Euro-Tbilisi Mathematical Journal;2022-12-01

2. On the roots of Fibonacci polynomials;Filomat;2022

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