Double Actions of Groups
Journal Title: Cumhuriyet Science journal - Year 2019, Vol 40, Issue 3
Abstract
In this work, we present the concept of double action of a group on a set as a new concept in literature, which opens up the way for applying rich amount of algebraic topological facts and methods in the algebraic topology. Besides of this, we give some expository examples of this new concept. We also express the definition of a double action via permutations as similar to the definition of an action on a set of groups via permutations. We investigate some characterizations about the double actions. Also we prove an adaptation of Cayley’s theorem in the case of the double action.
Authors and Affiliations
Mustafa Habil Gürsoy
Keywords
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