The integral logarithm in Iwasawa theory : an exercise

The Group Logarithm Past and Present

“…In recent time the group logarithm has been extended to various Iwasawa algebras, with a view to tackling the non-commutative Iwasawa conjecture. (See for instance the initial work of Kato in [K] and then and [RW1].) This conjecture has now been proved (under various hypotheses) by J.…”

K1 of a p-adic group ring II. The determinantal kernel SK1

“…The present paper is the second in a series of two papers: the first paper [3] dealt with the determinantal image of K 1 (R[G]), whereas this paper is concerned with the kernel of the determinant map, SK 1 (R[G]). It is interesting to note that recently there has been considerable resurgence of interest in K 1 of group rings with higher dimensional rings of coefficients in equivariant Iwasawa theory (see for instance [8,13,[10][11][12]21,22]). …”

K 1 of a p -adic group ring I. The determinantal image

“…The present paper is the second in a series of two papers: the first paper [CPT1] dealt with the determinantal image of K 1 (R[G]), whereas this paper is concerned with the kernel of the determinant map, SK 1 (R[G]). It is interesting to note that recently there has been considerable resurgence of interest in K 1 of group rings with higher dimensional rings of coefficients in equivariant Iwasawa theory (see for instance [FK], [K], and [RW1,2]).…”