I'm not very familiar with gammoids.
I wanted an advice of an article or book that has a dense content about gammoids. That could help me to understand the gammoid structure and how to build it up from a quiver as I describe it bellow.
Let H be a finite group with n elements, and m a positive integer.
We can build a groupoid structure G related to H, where its elements are the triples gij=(g, i, j) where the components lay, g in G; and i, j in {1, 2, ..., m}
s(g, i, j) = j
t(g, i, j) = i
the product is (g, i, j)(h, l, k) = (gh, i, k)
the units are (e, i, j) whenever i = j and we denote e the unity of H.
The groupoid G has a quiver representation structure, the set of units represent the vertex and the arrows are in respect of the source and target maps.
Lets say Q(V, E) is the quiver associated with G, then |V| = m. And between each pair of vertex there will be 2*n directed edges, exactly n arrows in each direction respecting and labeled in following again with s and t maps.
How do we construct a gammoid of Q? When can we construct, how do we guarantee the gammoid structure?
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