Actions and representations of g-digroups
摘要
We study g-digroup actions by proving some results that are well known in group actions, for example: the orbit stabilizer theorem, the class equation, Burnside’s formula, and we relate g-digroup actions with trioids. We introduce the definition of a representation of a g-digroup into dialgebras and establish a strong connection with g-digroup action, like in the group case.