FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 1, PAGES 313-315

On ranks of elements of free groups

U. U. Umirbaev

Abstract

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A criterion for a system of elements of the free group to have given rank is obtained. This result is a group analog of the theorem of A. A. Mikhalev and A. A. Zolotykh on ranks of system of elements in free Lie algebras.

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