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Presentation of the singular part of the Brauer monoid

Research paper by Victor Maltcev, Volodymyr Mazorchuk

Indexed on: 29 Mar '06Published on: 29 Mar '06Published in: Mathematics - Group Theory



Abstract

We obtain a presentation for the singular part of the Brauer monoid with respect to an irreducible system of generators, consisting of idempotents. As an application of this result we get a new construction of the symmetric group via connected sequences of subsets. Another application describes the lengths of elements in the singular part of the Brauer monoid with respect to the system of generators, mentioned above.