By Peter Abramenko
This ebook is addressed to mathematicians and complicated scholars attracted to constructions, teams and their interaction. Its first half introduces - presupposing sturdy wisdom of standard structures - the idea of dual structures, discusses its group-theoretic historical past (twin BN-pairs), investigates geometric points of dual structures and applies them to figure out finiteness homes of definite S-arithmetic teams. This software will depend on topological homes of a few subcomplexes of round structures. The historical past of this challenge, a few examples and the total resolution for all "sufficiently huge" classical structures are coated intimately within the moment a part of the ebook.
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