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Permutation 2-groups I: structure and splitness

Author
Elgueta, J.
Type of activity
Journal article
Journal
Advances in mathematics
Date of publication
2014-06-20
Volume
258
First page
286
Last page
350
DOI
https://doi.org/10.1016/j.aim.2014.03.011 Open in new window
Project funding
GEOMETRIA DE VARIETATS I APLICACIONS
GEOMETRÍA DE VARIEDADES ALGEBRAICAS Y APLICACIONES
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Repository
http://hdl.handle.net/2117/28484 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0001870814001054 Open in new window
Abstract
By a 2-group we mean a groupoid equipped with a weakened group structure. It is called split when it is equivalent to the semidirect product of a discrete 2-group and a one-object 2-group. By a permutation 2-group we mean the 2-group Sym(G) of self-equivalences of a groupoid G and natural isomorphisms between them, with the product given by composition of self-equivalences. These generalize the symmetric groups S-n, n >= 1, obtained when G is a finite discrete groupoid.; After introducing the wr...
Citation
Elgueta, J. Permutation 2-groups I: structure and splitness. "Advances in mathematics", 20 Juny 2014, vol. 258, p. 286-350.
Keywords
ALGEBRAIC-GEOMETRY, CATEGORIES, Categorical group, GROUPOIDS, Groupoid, HOMOTOPY TYPES, Permutation 2-group, REPRESENTATION, Split 2-group
Group of research
GEOMVAP - Geometry of Manifolds and Applications

Participants