Induction theorems for Grothendieck groups and Whitehead groups of finite groups
نویسندگان
چکیده
منابع مشابه
Whitehead Groups of Finite Groups
In 1966, Milnor surveyed in this Bulletin [23] the concept of Whitehead torsion, focusing on the definition, topological significance and computation of Whitehead groups and their relationship to algebraic ^-theory and the congruence subgroup problem. As Milnor showed in that survey [23, Appendix 1], an affirmative solution to the congruence subgroup problem for algebraic number fields would im...
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The Grothendieckand Wittring of orthogonal representations of a finite group is defined and studied. The main application (only indicated) is the reduction of the computation of Wall's various L-groups for a finite group n to those subgroups of n, which are a semidirect product of a cyclic group y of odd order with a 2-group /?, such that any element in ft acts on y either by the identity or by...
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15 صفحه اولInduction and Computation of Bass Nil Groups for Finite Groups
Let G be a finite group. We show that the Bass Nil-groups NKn(RG), n ∈ Z, are generated from the p-subgroups of G by induction, certain twistings maps depending on elements in the centralizers of the psubgroups, and the Verschiebung homomorphisms. As a consequence, the groups NKn(RG) are generated by induction from elementary subgroups. For NK0(ZG) we get an improved estimate of the torsion exp...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1968
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1161