• Corpus ID: 119308425

An extension theory for partial groups and localities

@article{Gonzalez2015AnET,
  title={An extension theory for partial groups and localities},
  author={Alex Gonzalez},
  journal={arXiv: Algebraic Topology},
  year={2015}
}
  • Alex Gonzalez
  • Published 15 July 2015
  • Mathematics
  • arXiv: Algebraic Topology
A partial group is a generalization of the concept of group recently introduced by A. Chermak. By considering partial groups as simplicial sets, we propose an extension theory for partial groups using the concept of (simplicial) fibre bundle. This way, the classical extension theory for groups naturally extends to an extension theory of partial groups. In particular, we show that the category of partial groups is closed by extensions. We also describe the cohomological obstructions for… 
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