Residual Finiteness Growths of Virtually Special Groups

Khalid Bou-Rabee; Mark F. Hagen; Priyam Patel

doi:10.1007/s00209-014-1368-5

Residual Finiteness Growths of Virtually Special Groups

Khalid Bou-Rabee, Mark F. Hagen, Priyam Patel

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

12 Citations (Scopus)

212 Downloads (Pure)

Abstract

Let G be a virtually special group. Then the residual finiteness growth of G is at most linear. This result cannot be found by embedding G into a special linear group. Indeed, the special linear group SLk(Z), for k>2, has residual finiteness growth nk−1.

Original language	English
Pages (from-to)	297-310
Number of pages	14
Journal	Mathematische Zeitschrift
Volume	279
Issue number	1-2
Early online date	19 Sep 2014
DOIs	https://doi.org/10.1007/s00209-014-1368-5
Publication status	Published - Feb 2015

Keywords

math.GR
math.GT

Access to Document

10.1007/s00209-014-1368-5

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title = "Residual Finiteness Growths of Virtually Special Groups",

abstract = "Let G be a virtually special group. Then the residual finiteness growth of G is at most linear. This result cannot be found by embedding G into a special linear group. Indeed, the special linear group SLk(Z), for k>2, has residual finiteness growth nk−1.",

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T1 - Residual Finiteness Growths of Virtually Special Groups

AU - Bou-Rabee, Khalid

AU - Hagen, Mark F.

AU - Patel, Priyam

PY - 2015/2

Y1 - 2015/2

N2 - Let G be a virtually special group. Then the residual finiteness growth of G is at most linear. This result cannot be found by embedding G into a special linear group. Indeed, the special linear group SLk(Z), for k>2, has residual finiteness growth nk−1.

AB - Let G be a virtually special group. Then the residual finiteness growth of G is at most linear. This result cannot be found by embedding G into a special linear group. Indeed, the special linear group SLk(Z), for k>2, has residual finiteness growth nk−1.

KW - math.GR

KW - math.GT

UR - https://arxiv.org/pdf/1402.6974.pdf

U2 - 10.1007/s00209-014-1368-5

DO - 10.1007/s00209-014-1368-5

M3 - Article (Academic Journal)

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

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