I'm trying to understand the Todd-Coxeter algorithm with the help of a multiplication and relator table, but there is one thing about coincidences that is not really clear.
For some small groups (for example 4 or 10 elements), everything is straightforward (by means of coincidences). But with some bigger examples, it can happen that multiple coincidences appear at the same time/iteration, in worst case even some cycles of coincidences. I'm wondering in which order (and how) I should solve these coincidences...
Hopefully someone can help me with this problem!