Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897246 | Journal of Pure and Applied Algebra | 2019 | 22 Pages |
Abstract
Let p be an odd prime number. We describe the Whitehead group of all extra-special and almost extra-special p-groups. For this we compute, for any finite p-group P, the subgroup Cl1(ZP) of SK1(ZP), in terms of a genetic basis of P. We also introduce a deflation map Cl1(ZP)âCl1(Z(P/N)), for a normal subgroup N of P, and show that it is always surjective. Along the way, we give a new proof of the result describing the structure of SK1(ZP), when P is an elementary abelian p-group.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Serge Bouc, Nadia Romero,