Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493347 | Journal of Algebra | 2005 | 42 Pages |
Abstract
For every profinite group G, we construct two covariant functors ÎG and APG which are equivalent to the functor WG introduced in [A. Dress, C. Siebeneicher, The Burnside ring of profinite groups and the Witt vectors construction, Adv. Math. 70 (1988) 87-132]. We call ÎG the generalized Burnside-Grothendieck ring functor and APG the aperiodic ring functor (associated with G). In case G is abelian, we also construct another functor ApG from the category of commutative rings with identity to itself as a generalization of the functor Ap introduced in [K. Varadarajan, K. Wehrhahn, Aperiodic rings, necklace rings, and Witt vectors, Adv. Math. 81 (1990) 1-29]. Finally, it is shown that there exist q-analogues of these functors (i.e., WG,ÎG,APG, and ApG) in case G is the profinite completion of the multiplicative infinite cyclic group CË.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Young-Tak Oh,