The work for this paper was carried out partly at the Courant Institute of Mathematical Sciences under NSF Grant GP-12024. Reproduction in whole or in part is permitted for any purpose of the United States Government. Communicated through G. Baumslag.
The P-DNP Problem for Infinite Abelian Groups
✍ Scribed by Christine Gaßner
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 123 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0885-064X
No coin nor oath required. For personal study only.
✦ Synopsis
We consider a uniform model of computation for groups. This is a generalization of the Blum Shub Smale model over the additive group of real numbers. We show that the inequalities P{DNP and PQ{DNPQ hold for computations with or without parameters over arbitrary infinite abelian groups.
📜 SIMILAR VOLUMES
Let p be a prime number and K be an algebraically closed field of characteristic p. Let G be a finite group and B be a (p-) block of G. We denote by l B the number of isomorphism classes of irreducible KG-modules in B. Let D be a defect group of B and let B 0 be the Brauer correspondent of B, that i
We consider resonance problems at an arbitrary eigenvalue of the p-Laplacian, and prove the existence of weak solutions assuming a standard Landesman Lazer condition. We use variational arguments to characterize certain eigenvalues and then to establish the solvability of the given boundary value pr
For a class of extensions of free products of groups, a description is given of the space of the real-valued functions ϕ defined on the group G and satisfying the conditions (1) the set ϕ xy -ϕ x -ϕ y x y ∈ G is bounded; and (2) ϕ x n = nϕ x for any x ∈ G and any n ∈ (the set of integers). Let G be