Shellability of generalized Dowling posets

@article{Paolini2018ShellabilityOG,
  title={Shellability of generalized Dowling posets},
  author={Giovanni Paolini},
  journal={J. Comb. Theory, Ser. A},
  year={2018},
  volume={171}
}
  • Giovanni Paolini
  • Published in J. Comb. Theory, Ser. A 2018
  • Mathematics, Computer Science
  • A generalization of Dowling lattices was recently introduced by Bibby and Gadish, in a work on orbit configuration spaces. The authors left open the question as to whether these posets are shellable. In this paper we prove EL-shellability and use it to determine the homotopy type. We also show that subposets corresponding to invariant subarrangements are not shellable in general. 

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