Compressibility in Nilpotent Groups

Name: Compressibility in Nilpotent Groups
Creator: Smith, Geoff
Keywords: non Hopfian groups, Nilpotent groups, 0103 physical sciences, subgroup of finite index, Subgroup theorems; subgroup growth, compressible groups, 0101 mathematics, torsion-free finitely generated nilpotent groups, 01 natural sciences, pro-p completion

Smith, Geoff

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Bulletin of the Lond...arrow_drop_down

Bulletin of the London Mathematical Society

Article . 1985 . Peer-reviewed

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Compressibility in Nilpotent Groups

Compressibility in nilpotent groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1985 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 17, pages 453-457 (issn: 0024-6093,

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Authors: Smith, Geoff;

doi: 10.1112/blms/17.5.453

Compressibility in Nilpotent Groups

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Abstract

A group G is compressible if whenever H is a subgroup of finite index in G there exists a copy of G of finite index in H. This paper explores this property in the class of torsion-free finitely generated nilpotent groups, and obtains a local/global theorem. The methods of pro-finite and pro-p completion are used.

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University of Oxford
United Kingdom

Keywords

non Hopfian groups, Nilpotent groups, subgroup of finite index, Subgroup theorems; subgroup growth, compressible groups, torsion-free finitely generated nilpotent groups, pro-p completion

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