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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=⊔ σ∈G/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).
KeywordsNormal Subgroup Prime Ideal Principal Ideal Coset Representative Left Coset
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