Finite arithmetic subgroups of GLn
نویسنده
چکیده
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 examples which negatively answer a question of Kitaoka.
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