The Transfer

  • H. E. A. Eddy CampbellEmail author
  • David L. Wehlau
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 139)


In this chapter, we consider in detail the transfer (also called the trace) map introduced in §1.2. Let H be a subgroup of the finite group G. Choose a set of left coset representatives for H in G. We denote this set of representatives by G/H. Thus G=⊔ σG/H σH is a decomposition of G into left cosets. There is an extensive theory considering the relative versions of the results of this chapter, see Fleischmann (1999) or Fleischmann and Shank (2003).


Normal Subgroup Prime Ideal Principal Ideal Coset Representative Left Coset 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 38.
    Peter Fleischmann, Relative trace ideals and Cohen-Macaulay quotients of modular invariant rings, Computational methods for representations of groups and algebras (Essen, 1997), Progr. Math., vol. 173, Birkhäuser, Basel, 1999, pp. 211–233. MR 1714612 (2000j:13007) Google Scholar
  2. 41.
    Peter Fleischmann and R. James Shank, The relative trace ideal and the depth of modular rings of invariants, Arch. Math. (Basel) 80 (2003), no. 4, 347–353. MR 2004e:13012 zbMATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Sir Howard Douglas Hall, Dept. MathematicsUniversity of New BrunswickFrederictonCanada
  2. 2.Dept. Mathematics & Computer ScienceRoyal Military College of CanadaKingstonCanada

Personalised recommendations