Thep-adic topology on a free group: A counterexample
β Scribed by James Howie
- Publisher
- Springer-Verlag
- Year
- 1984
- Tongue
- French
- Weight
- 122 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
Let W be a finite group acting on a lattice L over the p-adic integers β§ p . The analysis of the ring of invariants of the associated W -action on the algebra β§ p L of polynomial functions on L is a classical question of invariant theory. If p is coprime to the order of W , classical results show th
This paper gives an elementary, self-contained proof that a ΓΏnite product of ΓΏnitely generated subgroups of a free group is closed in the proΓΏnite topology. The proof uses inverse automata (graph immersions) and inverse monoid theory. Generalizations are given to other topologies. In particular, we
A simple example is given to illustrate that an idempotent state may not be the Haar state of any subgroup in the case of compact quantum groups.
We show under MA(Ο -centered) the existence of at least (2 Ο ) + non-homeomorphic topological group topologies on the free Abelian group of size 2 Ο which make it countably compact and separable. In particular, under GCH the maximum possible number of such topologies is attained. As a corollary, we