We discuss the following conjecture of Kitaoka: Here O K is the ring of integers in a finite Galois extension K of Q and K ab is the maximal abelian subextension of K. Our main result reduces this conjecture to a special case of elementary abelian p-groups G. Also, we construct some new examples wh
Finite Arithmetic Subgroups of GLn, II
β Scribed by Marcin Mazur
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 172 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
Let D be an infinite division algebra of finite dimension over its center. Assume that N is a subnormal subgroup of GL n D with n β₯ 1. It is shown that if N is finitely generated, then N is central.
Suppose that H is a subgroup of a finite group G and that G is generated by the conjugates of H. In this paper, we consider the following question: when can G be generated by two conjugates of H? We began the study of this question in [2]. In order to discuss the results proved in [2] and in this p
## Abstract We show that if __M__ is a countable recursively saturated model of True Arithmetic, then __G__ = Aut(__M__) has nonmaximal open subgroups with unique extension to a maximal subgroup of Aut(__M__). Mathematics Subject Classification: 03C62, 03C50.