Logarithmic Descriptions of Whitehead Groups and Class Groups for $p$-Groups

Robert Oliver · Larry Taylor

janv. 1988 · American Mathematical Society: Memoirs of the American Mathematical Society Livre 392 · American Mathematical Soc.

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P-adic logarithms are used to translate localization sequences, involving multiplicative groups of units, to simpler additive descriptions of [italic]D([double-struck]Z[italic]G) and [bold]Wh′([italic]G) for the [italic]p-group [italic]G. The goal of this paper is to work out a procedure for using logarithms to translate the localization sequences in to sequences involving additive groups.