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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 1996 Volume 2, Issue 1, Pages 313–315 (Mi fpm147)

This article is cited in 9 papers

Short communications

On ranks of elements of free groups

U. U. Umirbaev

Chemistry-Technological Institute of Shymkent

Abstract: 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.

Received: 01.09.1994



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