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Adjoining cofinitary permutations (II)

✍ Scribed by Yi Zhang


Book ID
105842046
Publisher
Springer
Year
2003
Tongue
English
Weight
165 KB
Volume
42
Category
Article
ISSN
0933-5846

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πŸ“œ SIMILAR VOLUMES


Adjoining Almost Disjoint Permutations
✍ Yi Zhang πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 131 KB

We show that it is consistent with ZFC + Β¬CH that there is a maximal almost disjoint permutation family A βŠ† Sym(N) such that A is a proper subset of an eventually different family E βŠ† N N and |A| < |E|. We also ask several questions in this area.

Maximal cofinitary groups
✍ Yi Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Springer 🌐 English βš– 88 KB
Nilpotent Cofinitary Groups
✍ B.A.F. Wehrfritz πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 1000 KB
Cameron's Cofinitary Group Conjecture
✍ Greg Hjorth πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 160 KB

Recall that S or Sym β€«ήŽβ€¬ is the topological group consisting of all Ο± w x permutations of β€«ήŽβ€¬ 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 ‫,ήŽβ€¬ a subgroup of S to be cofinitary if all its elements other Ο± than

Supersoluble and Related Cofinitary Grou
✍ B. A. F. Wehrfritz πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 758 KB

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