Geodesic
GROUP ACTIONS AND COVERINGS OF BRAUER GRAPH ALGEBRAS
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 439-464

Voir la notice de l'article provenant de la source Cambridge University Press

We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of group actions and coverings of algebras. In particular, we show that any Brauer graph can be covered by a tower of coverings of Brauer graphs such that the topmost covering has multiplicity function identically one, no loops, and no multiple edges. Furthermore, we classify the coverings of Brauer graph algebras that are again Brauer graph algebras.
DOI : 10.1017/S0017089513000372
Mots-clés : Primary 05E18, 16G20, Secondary 14E20, 16W50, 58E40 
GREEN, EDWARD L.; SCHROLL, SIBYLLE; SNASHALL, NICOLE. GROUP ACTIONS AND COVERINGS OF BRAUER GRAPH ALGEBRAS. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 439-464. doi: 10.1017/S0017089513000372
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