0000000000132914

AUTHOR

Bartolone C

showing 2 related works from this author

Imprimitive groups highly transitive on blocks

2004

We classify imprimitive groups acting highly transitively on blocks and satisfying conditions common in geometry. They can be realized as suitable subgroups of twisted wreath products.

CombinatoricsTransitive relationAlgebra and Number TheoryFlag-transitiveSocleMathematicsJournal of Group Theory
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Unitary Groups Acting on Grassmannians Associated with a Quadratic Extension of Fields

2006

Let (V, H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V, H) in the set of K-subspaces of V . Throughout the paper K denotes a real closed field and K its algebraic closure. Then it is well known (see, for example, [4, Chapter 2], [23]; see also [8]) that K = K(i) with i = √−1. Also we let (V,H) be an anisotropic Hermitian space (with respect to the involution underlying the quadratic field extension K/K) of finite dimension n over K. In this context we consider the natural action of the unitary group U = U(V,H) of isometries of (V,H) on the set Xd of all ddimensional K-subs…

Discrete mathematicsClassical groupPure mathematicsDouble cosetProjective unitary groupGeneral Mathematics15A21Unitary matrixSettore MAT/04 - Matematiche ComplementariAlgebraic closure11E39Unitary group51N30Quadratic fieldGeometry of classical groups Canonical forms reductions classificationSpecial unitary groupMathematicsRocky Mountain Journal of Mathematics
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