منابع مشابه
Finite arithmetic subgroups of GLn
We discuss the following conjecture of Kitaoka: if a finite subgroup G of GLn(OK) is invariant under the action of Gal(K/Q) then it is contained in GLn(K ). Here OK 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...
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The principle result of this article is the determination of the possible finite subgroups of arithmetic lattices in U(2,1).
متن کاملCounting Maximal Arithmetic Subgroups
for absolute constants C6, C7. This theorem (almost) follows from [EV, Theorem 1.1], the only point being to control the dependence of implicit constants on the degree of the number field. We refer to [EV] for further information and for some motivational comments about the method. In the proof C1, C2, . . . will denote certain absolute constants. A.2. Let K be an extension of Q of degree d ≥ 2...
متن کاملon finite arithmetic groups
let $f$ be a finite extension of $bbb q$, ${bbb q}_p$ or a global field of positive characteristic, and let $e/f$ be a galois extension. we study the realization fields of finite subgroups $g$ of $gl_n(e)$ stable under the natural operation of the galois group of $e/f$. though for sufficiently large $n$ and a fixed algebraic number field $f$ every its finite extension $e$ is re...
متن کاملCocompact Arithmetic Subgroups of Pu
We will say that a smooth projective complex algebraic variety V (of dimension n − 1) is a fake Pn−1 if V is the quotient of the unit ball Bn−1 by a torsion-free cocompact discrete subgroup of PU(n − 1, 1), and all the Betti numbers of V are equal to those of Pn−1 C . If the fundamental goup of a fake P n−1 is an arithmetic subgroup of PU(n − 1, 1), then we will say that it is an arithmetic fak...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1999
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2330