Graev metrics on free products and HNN extensions

Konstantin Slutsky

doi:10.1090/S0002-9947-2014-06010-8

Graev metrics on free products and HNN extensions

Konstantin Slutsky

Department of Mathematical Sciences

3 Citations (Scopus)

Abstract

We give a construction of two-sided invariant metrics on free products (possibly with amalgamation) of groups with two-sided invariant metrics and, under certain conditions, on HNN extensions of such groups. Our approach is similar to the Graev’s construction of metrics on free groups over pointed metric spaces.

Original language	English
Journal	Transactions of the American Mathematical Society
Volume	366
Issue number	12
Pages (from-to)	6353-6396
ISSN	0002-9947
DOIs	https://doi.org/10.1090/S0002-9947-2014-06010-8
Publication status	Published - 2014

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AB - We give a construction of two-sided invariant metrics on free products (possibly with amalgamation) of groups with two-sided invariant metrics and, under certain conditions, on HNN extensions of such groups. Our approach is similar to the Graev’s construction of metrics on free groups over pointed metric spaces.

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DO - 10.1090/S0002-9947-2014-06010-8

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Graev metrics on free products and HNN extensions

Abstract

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