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Transfer kernels and the Schur multiplier

Franz Lemmermeyer

Source record

Source: arXiv

Published: Oct 28, 2026

arXiv: 2610.38640

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Source abstract

In this article we prove that if HH is a normal subgroup of a finite group GG with G/HG/H cyclic, then the kernel of the transfer map G/G′⟶H/H′G/G' \longrightarrow H/H' equals (G:H)(G:H) times the order of the cokernel of the natural map M(H)⟶M(G)M(H) \longrightarrow M(G).

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