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The classification of endo-trivial modules

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References

  1. Alperin, J.L.: A construction of endo-permutation modules. J. Group Theory 4, 3–10 (2001)

    MathSciNet  MATH  Google Scholar 

  2. Benson, D.J., Carlson, J.F.: The cohomology of extraspecial groups. Bull. Lond. Math. Soc. 24, 209–235 (1992)

    MathSciNet  MATH  Google Scholar 

  3. Bosma, W., Cannon, J.: Handbook of Magma Functions. Sydney: Magma Computer Algebra 1999

  4. Bouc, S.: Tensor induction of relative syzygies. J. Reine Angew. Math. 523, 113–171 (2000)

    MathSciNet  MATH  Google Scholar 

  5. Bouc, S., Mazza, N.: The Dade group of (almost) extraspecial p-groups. J. Pure Appl. Algebra. To appear

  6. Bouc, S., Thévenaz, J.: The group of endo-permutation modules. Invent. Math. 139, 275–349 (2000)

    MathSciNet  MATH  Google Scholar 

  7. Carlson, J.F.: Constructing endotrivial modules. Preprint (2004)

  8. Carlson, J.F., Thévenaz, J.: Torsion endo-trivial modules. Algebr. Represent. Theory 3, 303–335 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  9. Carlson, J.F., Thévenaz, J.: The classification of torsion endo-trivial modules. Ann. Math. To appear

  10. Dade, E.C.: Endo-permutation modules over p-groups, I, II. Ann. Math. 107, 459–494 (1978); 108, 317–346 (1978)

    MathSciNet  MATH  Google Scholar 

  11. Gorenstein, D.: Finite Groups. New York: Harper & Row 1968

  12. Gorenstein, D., Lyons, R., Solomon, R.: The classification of the finite simple groups. Number 2, Math. Surveys and Monographs, Vol. 40.2. Providence: Am. Math. Soc. 1996

  13. Mazza, N.: The Dade group of a metacyclic p-group. J. Algebra 266, 102–111 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  14. Puig, L.: Affirmative answer to a question of Feit. J. Algebra 131, 513–526 (1990)

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Georgia, Athens, Georgia, 30602, USA

    Jon F. Carlson

  2. Institut de Géométrie, Algèbre et Topologie, EPFL, CH-1015, Lausanne, Switzerland

    Jacques Thévenaz

Authors
  1. Jon F. Carlson
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  2. Jacques Thévenaz
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Correspondence to Jon F. Carlson or Jacques Thévenaz.

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Carlson, J., Thévenaz, J. The classification of endo-trivial modules. Invent. math. 158, 389–411 (2004). https://doi.org/10.1007/s00222-004-0385-0

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