On lattice automorphisms of the special linear group
We show, with a counterexample, that proposition 3 in [2], as it stands, is not correct; we prove however that by changing the hypothesis the thesis of the proposition remains still valid.
On maximal compact subsemigroups of the endomorphism semigroup of an n-dimensional complex vector space.
On maximal subgroups of the general linear group over the field of rational functions.
On minimal permutation representations of classical simple groups.
On modules over the Hecke algebra of a p-adic group.
On mutual commutants of generalized carpet subgroups.
On normal abelian subgroups in parabolic groups
Let be a reductive algebraic group, a parabolic subgroup of with unipotent radical , and a closed connected subgroup of which is normalized by . We show that acts on with finitely many orbits provided is abelian. This generalizes a well-known finiteness result, namely the case when is central in . We also obtain an analogous result for the adjoint action of on invariant linear subspaces of the Lie algebra of which are abelian Lie algebras. Finally, we discuss a connection...
On normal subgroups of over rings with many units
On observable subgroups of complex analytic groups and algebraic structures on analytic homogeneous spaces.
On overgroups of and in their minimal representations.
On parametrization of the linear and unitary groups in terms of Dirac matrices.
On Projective Planes of Type (5, m).
On quasihomogeneous manifolds – via Brion-Luna-Vust theorem
We consider a smooth projective variety on which a simple algebraic group acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of with the induced action of on the normal bundle of a closed orbit of the action. We get effective results in case and .
On rapid generation of .
On recognition by spectrum of finite simple linear groups over fields of characteristic 2.
On recognition of the finite simple orthogonal groups of dimension , , and over a field of characteristic 2.
On recognition of the projective special linear groups over binary fields.
On reducible and decomposable representations of orders.
On representations of with algebras of invariants being complete intersections.
On semisimple classes and semisimple characters in finite reductive groups
In this article, we study the elements with disconnected centralizer in the Brauer complex associated to a simple algebraic group defined over a finite field with corresponding Frobenius map and derive the number of -stable semisimple classes of with disconnected centralizer when the order of the fundamental group has prime order. We also discuss extendibility of semisimple characters of the fixed point subgroup to their inertia group in the full automorphism group. As a consequence, we...