Micael Toledo: On automorphism group of maniplexes and their symmetry type graphs

Povzetek. Given a maniplex M, consider its set of flag orbits, O, under the action of its automorphism group. We can construct an edge-coloured graph having vertex set O, by joining to vertices o1 and o2 with an i-coloured edge, whenever there are two i-adjacent flags f and g, in o1 and o2, respectively. Such graph is called the symmetry type graph of M. In this talk we discuss some properties of symmetry type graphs of maniplexes as well as giving generators for the automorphism group of a maniplex, given its symmetry type graph.