# Existence, uniqueness and functoriality of the perfect locality over a Frobenius P-category

@article{Puig2012ExistenceUA,
title={Existence, uniqueness and functoriality of the perfect locality over a Frobenius P-category},
author={Lluis Puig},
journal={arXiv: Group Theory},
year={2012}
}
• L. Puig
• Published 30 June 2012
• Mathematics
• arXiv: Group Theory
Let p be a prime, P a finite p-group and F a Frobenius P-category. The question on the existence of a suitable category Lsc extending the full subcategory of F over the set of F-selfcentralizing subgroups of P goes back to Dave Benson in 1994. In 2002 Carles Broto, Ran Levi and Bob Oliver formulate the existence and the uniqueness of the category Lsc in terms of the annulation of an obstruction 3-cohomology element and of the vanishing of a 2-cohomology group, and they state a sufficient…
5 Citations
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