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The existence of equivariant pure free resolutions

David Eisenbud, Gunnar Fløystad, Jerzy Weyman (2011)

Annales de l’institut Fourier

Let A = K [ x 1 , , x m ] be a polynomial ring in m variables and let d = ( d 0 < < d m ) be a strictly increasing sequence of m + 1 integers. Boij and Söderberg conjectured the existence of graded A -modules M of finite length having pure free resolution of type d in the sense that for i = 0 , , m the i -th syzygy module of M has generators only in degree d i .This paper provides a construction, in characteristic zero, of modules with this property that are also G L ( m ) -equivariant. Moreover, the construction works over rings of the form A K B where A is a polynomial...

The Farey graph.

Jones, Gareth A. (1987)

Séminaire Lotharingien de Combinatoire [electronic only]

The Fibonacci automorphism of free Burnside groups

Ashot S. Pahlevanyan (2011)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd n 665 and even n = 16 k 8000 .

The Fibonacci automorphism of free Burnside groups

Ashot S. Pahlevanyan (2011)

RAIRO - Theoretical Informatics and Applications

We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd n 665 and even n = 16 k 8000 .

The finite subgroups of maximal arithmetic kleinian groups

Ted Chinburg, Eduardo Friedman (2000)

Annales de l'institut Fourier

Given a maximal arithmetic Kleinian group Γ PGL ( 2 , ) , we compute its finite subgroups in terms of the arithmetic data associated to Γ by Borel. This has applications to the study of arithmetic hyperbolic 3-manifolds.

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