group of a p-adic field to the representations of a matrix group G over the field. In the original formulation (now proved... in studying this is that the representations of G are (almost all) infinite-dimensional, so they are quite hard to get a handle...
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. For groups this topic is part of geometric group theory where ideas from geometry, topology, combinatorics and theoretical... computer science (e.g. automata and formal language theory) are used to study infinite groups. The main objects of study...