A two-dimensional version of the Goldschmidt-Sims conjecture

Yair Glasner

doi:10.1016/S0021-8693(03)00530-1

A two-dimensional version of the Goldschmidt-Sims conjecture

Yair Glasner

Research output: Contribution to journal › Article › peer-review

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Abstract

The Goldschmidt-Sims conjecture asserts that there is a finite number of (conjugacy classes of) edge transitive lattices in the automorphism group of a regular tree with prime valence. We prove a similar theorem for irreducible lattices, transitive on the 2-cells of the product of two regular trees of prime valences.

Original language	English
Pages (from-to)	381-401
Number of pages	21
Journal	Journal of Algebra
Volume	269
Issue number	2
DOIs	https://doi.org/10.1016/S0021-8693(03)00530-1
State	Published - 15 Nov 2003
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/S0021-8693(03)00530-1

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abstract = "The Goldschmidt-Sims conjecture asserts that there is a finite number of (conjugacy classes of) edge transitive lattices in the automorphism group of a regular tree with prime valence. We prove a similar theorem for irreducible lattices, transitive on the 2-cells of the product of two regular trees of prime valences.",

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AB - The Goldschmidt-Sims conjecture asserts that there is a finite number of (conjugacy classes of) edge transitive lattices in the automorphism group of a regular tree with prime valence. We prove a similar theorem for irreducible lattices, transitive on the 2-cells of the product of two regular trees of prime valences.

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A two-dimensional version of the Goldschmidt-Sims conjecture

Abstract

ASJC Scopus subject areas

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