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The isoperimetric spectrum of finitely presented groups

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 نشر من قبل Mark Sapir
 تاريخ النشر 2018
  مجال البحث
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 تأليف Mark Sapir




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The isoperimeric spectrum consists of all real positive numbers $alpha$ such that $O(n^alpha)$ is 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) $mathbf{P=NP}$ and even a formally weaker conjecture.

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