The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions

TR Riley

The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions

TR Riley

University of Bristol

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

4 Citations (Scopus)

Abstract

We examine the geometry of the word problem of two different types of groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restrictive, non-vacuous constraints. In both cases we obtain an n! isoperimetric function and n(2) upper bounds on the minimal isodiametric function and the filling length function.

Translated title of the contribution	The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
Original language	English
Pages (from-to)	513 - 523
Number of pages	13
Journal	Journal of Group Theory
Volume	5 (4)
Publication status	Published - 2002

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Publisher: Walter de Gruyter & Co

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http://www.ams.org/mathscinet/pdf/1931373.pdf?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&s4=riley%2C%20t%2A&s5=&s6=&s7=&s8=All&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=12

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Riley, TR. (2002). The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions. Journal of Group Theory, 5 (4), 513 - 523. http://www.ams.org/mathscinet/pdf/1931373.pdf?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&s4=riley%2C%20t%2A&s5=&s6=&s7=&s8=All&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=12

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title = "The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions",

abstract = "We examine the geometry of the word problem of two different types of groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restrictive, non-vacuous constraints. In both cases we obtain an n! isoperimetric function and n(2) upper bounds on the minimal isodiametric function and the filling length function.",

author = "TR Riley",

note = "Publisher: Walter de Gruyter \& Co",

year = "2002",

language = "English",

volume = "5 (4)",

pages = "513 -- 523",

journal = "Journal of Group Theory",

issn = "1435-4446",

publisher = "Walter de Gruyter GmbH",

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Riley, TR 2002, 'The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions', Journal of Group Theory, vol. 5 (4), pp. 513 - 523. <http://www.ams.org/mathscinet/pdf/1931373.pdf?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&s4=riley%2C%20t%2A&s5=&s6=&s7=&s8=All&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=12>

TY - JOUR

T1 - The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions

AU - Riley, TR

N1 - Publisher: Walter de Gruyter & Co

PY - 2002

Y1 - 2002

N2 - We examine the geometry of the word problem of two different types of groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restrictive, non-vacuous constraints. In both cases we obtain an n! isoperimetric function and n(2) upper bounds on the minimal isodiametric function and the filling length function.

AB - We examine the geometry of the word problem of two different types of groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restrictive, non-vacuous constraints. In both cases we obtain an n! isoperimetric function and n(2) upper bounds on the minimal isodiametric function and the filling length function.

M3 - Article (Academic Journal)

SN - 1435-4446

VL - 5 (4)

SP - 513

EP - 523

JO - Journal of Group Theory

JF - Journal of Group Theory

ER -

The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions

Abstract

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