2010
DOI: 10.5802/jtnb.711
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The integral logarithm in Iwasawa theory : an exercise

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Cited by 7 publications
(4 citation statements)
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References 8 publications
(11 reference statements)
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“…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.…”
Section: Introductionmentioning
confidence: 82%
“…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.…”
Section: Introductionmentioning
confidence: 82%
“…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]). …”
Section: Introductionmentioning
confidence: 99%
“…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]).…”
Section: Introductionmentioning
confidence: 99%