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Cofinitary and contrafinitary linear groups

✍ Scribed by B. A. F. Wehrfritz


Book ID
105151225
Publisher
Springer Vienna
Year
1996
Tongue
English
Weight
319 KB
Volume
121
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES


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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

Uniformity of the Meager Ideal and Maxim
✍ JΓΆrg Brendle; Otmar Spinas; Yi Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 142 KB

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.