A simple group generated by involutions interchanging residue classes of the integers.

DOI10.1007/s00209-009-0497-8zbMath1210.20026OpenAlexW1966274138WikidataQ61632433 ScholiaQ61632433MaRDI QIDQ2268160

Stefan Kohl

Publication date: 10 March 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0497-8

zbMATH Keywords

highly transitive groupscountable simple groupresidue-class-wise affine permutations

Mathematics Subject Classification ID

Related Items (1)

The Collatz conjecture in a group theoretic context

Uses Software

• GAP
• RCWA

Cites Work

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• Wreath products and finitely presented groups
• Algorithms for a class of infinite permutation groups.
• Wildness of iteration of certain residue-class-wise affine mappings
• Finite cycles of certain periodically linear permutations
• Groups of Piecewise Linear Homeomorphisms
• An Algebraically Simple Ordered Group
• The word problem

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