The isoperimetric spectrum of finitely presented groups

  • Mark V. Sapir

    Vanderbilt University, Nashville, USA

Abstract

The isoperimeric spectrum consists of all real positive numbers such that is equivalent to the Dehn function of a finitely presented group. In this note we show how a recent result of Olshanskii completes the description of the isoperimetric spectrum modulo the celebrated Computer Science conjecture (and one of the seven Millennium Problems) and even a formally weaker conjecture.

Cite this article

Mark V. Sapir, The isoperimetric spectrum of finitely presented groups. J. Comb. Algebra 2 (2018), no. 4, pp. 435–441

DOI 10.4171/JCA/2-4-2