RESEARCH ARTICLE

On faithful actions of groups and semigroups by orientation-preserving plane isometries

Yaroslav Vorobets

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of Ukrainian NAS, Lviv, Ukraine

Abstract: Feitful representations of two generated free groups and free semigroups by orientation-preserving plane isometries constructed.

Keywords: free groups, free semigroups, plane isometries, group actions, semigroup actions.

MSC: 20E05, 20F32, 20M05, 20M30

Language: English

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