Geodesic
Modular representations of finite groups with trivial restriction to Sylow subgroups
Journal of the European Mathematical Society, Tome 15 (2013) no. 6, pp. 2061-2079 Cet article a éte moissonné depuis la source EMS Press

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Let k be a field of characteristic p. Let G be a finite group of order divisible by p and P a p-Sylow subgroup of G. We describe the kernel of the restriction homomorphism T(G)→T(P), for T(−) the group of endotrivial representations. Our description involves functions G→k× that we call weak P-homomorphisms. These are generalizations to possibly non-normal P≤G of the classical homomorphisms G/P→k× appearing in the normal case.
DOI : 10.4171/jems/414
Classification : 20-XX
Keywords: endotrivial module, trivial restriction to Sylow, weak homomorphism 
@article{JEMS_2013_15_6_a3,
     author = {Paul Balmer},
     title = {Modular representations of finite groups with trivial restriction to {Sylow} subgroups},
     journal = {Journal of the European Mathematical Society},
     pages = {2061--2079},
     year = {2013},
     volume = {15},
     number = {6},
     doi = {10.4171/jems/414},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/414/}
}
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Paul Balmer. Modular representations of finite groups with trivial restriction to Sylow subgroups. Journal of the European Mathematical Society, Tome 15 (2013) no. 6, pp. 2061-2079. doi: 10.4171/jems/414

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