Maximal cofinitary groups
β Scribed by Yi Zhang
- Book ID
- 105842491
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 88 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0933-5846
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove that every maximal cofinitary group has size at least the cardinality of the smallest non-meager set of reals. We also provide a consistency result saying that the spectrum of possible cardinalities of maximal cofinitary groups may be quite arbitrary.
Let D be a division ring (possibly commutative) and V an infinite-dimensional left vector space over D. We consider irreducible subgroups G of GL(VJ containing an element whose fixedpoint set in V is non-zero but finite dimensional (over D). We then derive conclusions about cofinitary groups, an ele
Recall that S or Sym β«ήβ¬ is the topological group consisting of all Ο± w x permutations of β«ήβ¬ equipped with the natural topology. In Ca Cameron defines an element of S to be cofinitary if it fixes only finitely many Ο± elements of β«,ήβ¬ a subgroup of S to be cofinitary if all its elements other Ο± than