A construction of endo-permutation modules

By J. Alperin. 2001

58 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Artificial Intelligence, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/d3fc807b08850dd53ff46ca5fffaf1261197621d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jon F. Carlson
2. Jacques Thévenaz
3. Serge Bouc
4. Paul Balmer

In Artificial Intelligence

1. Jacques Thévenaz
2. Jon F. Carlson
3. Serge Bouc
4. Paul Balmer

In Electrical and Electronic Engineering

1. Jon F. Carlson
2. Jacques Thévenaz
3. Serge Bouc

Citations in the corpus

• Torsion Endo-Trivial Modules (2000, methodology): “By ageneral result ofAlperin, L isanendo-permutation module(see[ Al1 ]or[Bo]), andinfactinthiscaseitisan endo-trivial module.Thiscanbe seendirectly by applying Lemma 2.9becausewe aregoingtoseethattherestriction ofL toeach Kleinfour-group isendo-trivial.”
• Equivariant Moore spaces and the Dade group (2016, unknown): “It is shown by Alperin [1] that ∆(X) is an endopermutation kG-module and it is capped when |XG| 6 = 1.”
• The classification of endo-trivial modules (2004, methodology): “Now by repeated applications of Lemma 5.2.1 of [Bo] (which is also the method used on pp. 9–10 of [ Al ]), we obtain”
• The Dade group of a p-group (2006, background): “Another crucial subgroup of D(P ) is the subgroup D (P ) generated by relative syzygies (see [ 2 ] or [6] for details).”