Length and Area Functions on Groups and Quasi-Isometric Higman Embeddings

1998/11/18 by A. Yu. Olshanskii, Olshanskii, A. Yu., Mark Sapir +1 · 1 citation
Mathematics · #20 #Advanced Operator Algebra Research #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.math/9811107

openalex publication_date 1998/11/18 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We survey recent results about asymptotic functions of groups, obtained by the authors in collaboration with J.-C.Birget, V. Guba and E. Rips. We also discuss methods used in the proofs of these results.

Citations

• Fractional Isoperimetric Inequalities and subgroup distortion

Cited by

• Superexponential distortion of free groups in virtually special Groups

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