On the primitive divisors of the recurrent sequence \(u_{n+1}=(4\cos^2(2\pi/7)-1)u_{n}-u_{n-1}\) with applications to group theory

DOI10.1007/s11425-017-9347-3zbMath1440.11013OpenAlexW2891883663MaRDI QIDQ1623856

Maxim Vsemirnov

Publication date: 23 November 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9347-3

zbMATH Keywords

Hurwitz groupsrecurrent sequencesprimitive divisors

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Recurrences (11B37)

Related Items (1)

Preface

Uses Software

• Magma

Cites Work

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• Existence of primitive divisors of Lucas and Lehmer numbers
• Hurwitz Groups and Hurwitz Generation
• Hurwitz groups: A brief survey
• An update on Hurwitz groups
• A Cohomological Criterion for a Finitely Presented Group to be Infinite
• On linearly rigid tuples
• Primitive divisors of Lucas and Lehmer sequences, III
• Primitive divisors of the expression An - Bn in algebraic number fields.
• Triangle groups as subgroups of unitary groups

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