ДОСТАТОЧНЫЕ УСЛОВИЯ НЕСТАБИЛЬНОСТИ ЭЛЕМЕНТА СВОБОДНЫХ НИЛЬПОТЕНТНЫХ ГРУПП

A.I. Kovyrshina & E.S. Lapshina
Search of stable elements of free nilpotent groups is closely associated with unstable elements in these groups. In establishing sufficient conditions for the existence of unstable elements search for stability is much easier. The article describes the set of a particular type of basic commutators, among the linear combinations of which there are not stable elements. We consider the free nilpotent group of rank 3 class 12.
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