Cihan Bahran

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math.GR2018

The commuting complex of the symmetric group with bounded number of $p$ -cycles

Cihan Bahran

For a fixed prime $p$ , we consider a filtration of the commuting complex of elements of order $p$ in the symmetric group $S_{n}$ . The filtration is obtained by imposing su…

math.GR2018

Categorifying induction formulae via divergent series

Cihan Bahran

We show how to get explicit induction formulae for finite group representations, and more generally for rational Green functors, by summing a divergent series over Dwyer's subgroup…

The commuting complex of the symmetric group with bounded number of p-cycles

Categorifying induction formulae via divergent series

The commuting complex of the symmetric group with bounded number of $p$ -cycles