Filtrations of free groups as intersections

Ido Efrat

doi:10.1007/s00013-014-0701-x

Filtrations of free groups as intersections

Ido Efrat

Department of Mathematics

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

6 Scopus citations

Abstract

For several natural filtrations of a free group S, we express the n-th term of the filtration as the intersection of all kernels of homomorphisms from S to certain groups of upper-triangular unipotent matrices. This generalizes a classical result of Grün for the lower central filtration. In particular, we do this for the n-th term in the lower p-central filtration of S.

Original language	English
Pages (from-to)	411-420
Number of pages	10
Journal	Archiv der Mathematik
Volume	103
Issue number	5
DOIs	https://doi.org/10.1007/s00013-014-0701-x
State	Published - 25 Nov 2014

Keywords

Primary 20E05
Secondary 20E18

ASJC Scopus subject areas

General Mathematics

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10.1007/s00013-014-0701-x

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title = "Filtrations of free groups as intersections",

abstract = "For several natural filtrations of a free group S, we express the n-th term of the filtration as the intersection of all kernels of homomorphisms from S to certain groups of upper-triangular unipotent matrices. This generalizes a classical result of Gr{\"u}n for the lower central filtration. In particular, we do this for the n-th term in the lower p-central filtration of S.",

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N2 - For several natural filtrations of a free group S, we express the n-th term of the filtration as the intersection of all kernels of homomorphisms from S to certain groups of upper-triangular unipotent matrices. This generalizes a classical result of Grün for the lower central filtration. In particular, we do this for the n-th term in the lower p-central filtration of S.

AB - For several natural filtrations of a free group S, we express the n-th term of the filtration as the intersection of all kernels of homomorphisms from S to certain groups of upper-triangular unipotent matrices. This generalizes a classical result of Grün for the lower central filtration. In particular, we do this for the n-th term in the lower p-central filtration of S.

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KW - Secondary 20E18

UR - http://www.scopus.com/inward/record.url?scp=84912091273&partnerID=8YFLogxK

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DO - 10.1007/s00013-014-0701-x

M3 - Article

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JO - Archiv der Mathematik

JF - Archiv der Mathematik

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ER -

Filtrations of free groups as intersections

Abstract

Keywords

ASJC Scopus subject areas

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