Torsion Endo-Trivial Modules
By Jon F. Carlson, Jacques Thévenaz. 2000
79 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/d682879397d3fb948ae059717bacbda4a158c1a7
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
Citations in the corpus
- The functor of units of Burnside rings for p-groups (2006, unknown): “3 of [12], so D tors(P ) = {0} again.”
- The classification of torsion endo-trivial modules (2005, methodology): “erts that these are the only cases where nontrivial torsion occurs. Theorem 1.1. Suppose that G is a finite p-group which is not cyclic, quaternion, or semi-dihedral. Then Tt(G) = {0}. As explained in [CaTh], the computation of the torsion subgroup Tt(G) is tightly connected to the problem of detecti”
- The classification of endo-trivial modules (2004, background): “Another consequence of the property that T(P) is generated by relative syzygies is the fact that the classification is independent of the base field k (except for the quaternion group of order 8, see [ CaTh1 ]).”
- The Dade group of a p-group (2006, background): “1 of [13] show that D(P) = D(P) when P is dihedral, or semi dihedral.”
- Modules of constant Jordan type (2007, background): “a dihedral group of order 8, then radðkGÞ=rad(4)ðkGÞ is the direct sum of two modules of dimension three that are endotrivial (see [9]).”