Geodesic
A reduction theorem for Dade’s projective conjecture
Journal of the European Mathematical Society, Tome 19 (2017) no. 4, pp. 1071-1126 Cet article a éte moissonné depuis la source EMS Press

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In this paper, we propose a strengthening of Dade’s Conjecture. This version, called the Character Triple conjecture, once assumed for quasisimple groups, is shown to imply Dade’s Projective Conjecture for all finite groups. In particular Dade’s Projective Conjecture holds for a group whose nonabelian simple sections have only covering groups satisfying the Character Triple Conjecture. We verify the new conjecture for some classes of quasisimple groups.
DOI : 10.4171/jems/688
Classification : 20-XX, 00-XX
Keywords: Dade’s (projective) conjecture, block theory, representations of finite groups 
@article{JEMS_2017_19_4_a4,
     author = {Britta Sp\"ath},
     title = {A reduction theorem for {Dade{\textquoteright}s} projective conjecture},
     journal = {Journal of the European Mathematical Society},
     pages = {1071--1126},
     year = {2017},
     volume = {19},
     number = {4},
     doi = {10.4171/jems/688},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/688/}
}
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Britta Späth. A reduction theorem for Dade’s projective conjecture. Journal of the European Mathematical Society, Tome 19 (2017) no. 4, pp. 1071-1126. doi: 10.4171/jems/688

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