Talk:Transfer (group theory)


 * Support -  DanielConstantinMayer (talk) 08:36, 29 June 2014 (UTC)
 * Oppose -  The articles Transfer (group theory) and Artin transfer (group theory) define the transfer homomorphism with different intentions for actual further applications of the concept. The former was obviously created as a basis of the "Focal subgroup theorem" and of the cohomological point of view. The latter was implicitly designed for applications in class field theory and algebraic number theory, as a group theoretic translation of the class extension homomorphism and the closely related principalization problem, originally developed by E. Artin. However, Artin transfers are also treated purely group theoretically here and are used for endowing descendant trees with additional structure arising from kernels and targets of Artin transfers. The explicit translation is separated in the article Principalization (algebra). DanielConstantinMayer (talk) 08:36, 29 June 2014 (UTC)

Commutator subgroup
The last section is confusing, the way it is worded it seems to be claiming that in a finitely generated group the commutator subgroup has finite index (which is false). — Preceding unsigned comment added by Hasire (talk • contribs) 19:55, 26 April 2020 (UTC)