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2 THE BRAUER CHARACTERS OF THE SPORADIC SIMPLE HARADANORTON GROUP AND ITS AUTOMORPHISM GROUP IN CHARACTERISTICS
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THE BRAUER CHARACTERS OF THE SPORADIC SIMPLE HARADANORTON GROUP AND ITS AUTOMORPHISM GROUP IN CHARACTERISTICS
"... Abstract. We determine the 2modular and 3modular character tables of the sporadic simple HaradaNorton group and its automorphism group. 1. ..."
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Abstract. We determine the 2modular and 3modular character tables of the sporadic simple HaradaNorton group and its automorphism group. 1.
A Characterization of Subgroup Lattices of Finite Abelian Groups
, 2005
"... We characterize the lattices of all subgroups of finite Abelian pgroups and, more generally, submodules of finitely generated modules over completely primary uniserial rings. This is based on a complete isomorphism invariant for such lattices. ..."
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Cited by 1 (0 self)
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We characterize the lattices of all subgroups of finite Abelian pgroups and, more generally, submodules of finitely generated modules over completely primary uniserial rings. This is based on a complete isomorphism invariant for such lattices.
UNIVERSAL DEFORMATION RINGS AND GENERALIZED QUATERNION DEFECT GROUPS
, 909
"... Abstract. We determine the universal deformation ring R(G, V) of certain mod 2 representations V of a finite group G whose Sylow 2subgroups are isomorphic to a generalized quaternion group D. We show that for these V, a question raised by the author and Chinburg concerning the relation of R(G, V) t ..."
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Abstract. We determine the universal deformation ring R(G, V) of certain mod 2 representations V of a finite group G whose Sylow 2subgroups are isomorphic to a generalized quaternion group D. We show that for these V, a question raised by the author and Chinburg concerning the relation of R(G, V
On Cocommutative Hopf Algebras Of Finite Representation Type
 Universitat Bielefeld, SFB Preprint
"... Let G be a finite algebraic group, defined over an algebraically closed field k of characteristic p ? 0. Such a group decomposes into a semidirect product G = G 0 \Theta G red with a constant group G red and a normal infinitesimal subgroup G 0 . If the principal block B 0 (G) of the group alge ..."
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algebra H(G) has finite representation type, then both constituents have the same property, with at least one of them being semisimple. We determine the structure of the infinitesimal constituent G 0 up to the classification of Vuniserial groups. 0. Introduction This paper is concerned
Pure injective envelopes of finite length modules over a Generalised Weyl Algebra
"... We investigate certain pureinjective modules over generalised Weyl algebras. We consider pureinjective hulls of finite length modules, the elementary duals of these, torsionfree pureinjective modules and the closure in the Ziegler spectrum of the category of finite length modules supported on a n ..."
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nondegenerate orbit of a generalized Weyl algebra. We also show that this category is a direct sum of uniserial categories and admits almost split sequences. We find parallels to but also marked contrasts with the behaviour of pure injective modules over finitedimensional algebras and hereditary orders.
ITERATED EXTENSIONS IN MODULE CATEGORIES
, 2004
"... Abstract. Let k be an algebraically closed field, let R be an associative kalgebra, and let F = {Mα: α ∈ I} be a family of orthogonal points in Mod(R) such that EndR(Mα) ∼ = k for all α ∈ I. Then Mod(F), the minimal full subcategory of Mod(R) which contains F and is closed under extensions, is a ..."
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a new proof of the characterization of uniserial length categories, which is constructive. As an application, we give an explicit description of some categories of holonomic and regular holonomic Dmodules on curves which are uniserial length categories.
Brauer’s generalized decomposition numbers and universal deformation rings
 In press, Trans. Amer. Math. Soc
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The Carlitz algebras
"... The Carlitz Fqalgebra C = Cν, ν ∈ N, is generated by an algebraically closed field K (which contains a nondiscrete locally compact field of positive characteristic p> 0, i.e. K ≃ Fq[[x,x −1]], q = p ν), by the (power of the) Frobenius map X = Xν: f ↦ → f q, and by the Carlitz derivative Y = Yν. ..."
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of the element Y X (the set of eigenvalues for Y X is given explicitly for each simple Cmodule). This fact is crucial in finding the group AutFq(C) of Fqalgebra automorphisms of C and in proving that two distinct Carlitz rings are not isomorphic (Cν ̸ ≃ Cµ if ν ̸ = µ). The centre of C is found explicitly
Results 1  10
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