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math.GR2018★ 4 cited
On Burnside Theory for groupoids
Laiachi El Kaoutit, Leonardo Spinosa
We explore the concept of conjugation between subgroupoids, providing several characterizations of the conjugacy relation (Theorem A in §1.2). We show that two finite groupoid-sets…
math.GR2017★ 1 cited
Mackey formula for bisets over groupoids
Laiachi El Kaoutit, Leonardo Spinosa
In this paper we establish the Mackey formula for groupoids, extending the well known formula in abstract groups context. This formula involves the notion of groupoid-biset, its or…