Double Actions of Groups
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.
Keywords
References
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