منابع مشابه
On the Classification of Finite Semigroups and RA-loops with the Hyperbolic Property
We classify the finite semigroups S, for which all Z-orders Γ of QS, the unit group U(Γ) is hyperbolic. We also classify the RA-loops L for which the unit loop of its integral loop ring does not contain any free abelian subgroup of rank two.
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The question of the existence of an analogue, in the framework of central simple algebras with involution, of the notion of Pfister form is raised. In particular, algebras with orthogonal involution which split as a tensor product of quaternion algebras with involution are studied. It is proven that, up to degree 16, over any extension over which the algebra splits, the involution is adjoint to...
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We define an invariant of torsors under adjoint linear algebraic groups of type Cn—equivalently, central simple algebras of degree 2n with symplectic involution—for n divisible by 4 that takes values in H(k, μ2). The invariant is distinct from the few known examples of cohomological invariants of torsors under adjoint groups. We also prove that the invariant detects whether a central simple alg...
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An extensive theory of the topology associated with finite groups of continuous transformations remains to be developed. Mr. M. Richardson has evaluated the Betti numbers of the "domain of discontinuity" in a case of considerable generality and his methods' yield equally well certain modulo p invariants. They seem to be inadequate, however, when p equals a, the order of the group. We shall brie...
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We show that a non-hyperbolic orthogonal involution on a central simple algebra over a field of characteristic 6= 2 remains non-hyperbolic over some splitting field of the algebra.
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2009
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2009-027-0