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1,591
Infinitesimal 1parameter subgroups and cohomology
 J. AMER. MATH. SOC
, 1997
"... This is the first of two papers in which we determine the spectrum of the cohomology algebra of infinitesimal group schemes over a field k of characteristic p> 0. Whereas [SFB] is concerned with detection of cohomology classes, the present paper introduces the graded algebra k[Vr(G)] of functions ..."
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Cited by 65 (19 self)
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[Vr(G)] of functions on the scheme of infinitesimal 1parameter subgroups of height ≤ r on an affine group scheme G and demonstrates that this algebra is essentially a retract of H ev (G, k) provided that G is an infinitesimal group scheme of height ≤ r. This work is a continuation of [FS] in which the existence
Marketing Subgroup Report………………………………………... 21
"... This report presents the findings and conclusions, a workflow analysis, and key recommendations to implement the III Electronic Resources Management module. The management of electronic resources varies from traditional print resources. Differences include licensing, technical support, access, and ..."
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was required to bring ERM online, this Project Team formed various Subgroups to address significant aspects
Finite subgroups of formal groups
 J. Pure Appl. Algebra
, 1997
"... Abstract. We discuss various moduli problems involving the classification of finite subgroups or related structures on formal groups of finite height n. We show that many moduli schemes are smooth or at least CohenMacaulay. Moreover, many maps between such schemes are finite and flat, and their deg ..."
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Cited by 25 (8 self)
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Abstract. We discuss various moduli problems involving the classification of finite subgroups or related structures on formal groups of finite height n. We show that many moduli schemes are smooth or at least CohenMacaulay. Moreover, many maps between such schemes are finite and flat
The Bredon cohomology of subgroup complexes
 J. Pure Appl. Algebra
"... Abstract. We develop the homological algebra of coefficient systems on a group, in particular from the point of view of calculating higher limits. We show how various sequences of modules associated to a class of subgroups of a given group can be analysed by methods from homological algebra. We are ..."
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Cited by 21 (3 self)
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Abstract. We develop the homological algebra of coefficient systems on a group, in particular from the point of view of calculating higher limits. We show how various sequences of modules associated to a class of subgroups of a given group can be analysed by methods from homological algebra. We
Subgroup Detection in Ideological Discussions
"... The rapid and continuous growth of social networking sites has led to the emergence of many communities of communicating groups. Many of these groups discuss ideological and political topics. It is not uncommon that the participants in such discussions split into two or more subgroups. The members o ..."
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Cited by 11 (1 self)
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The rapid and continuous growth of social networking sites has led to the emergence of many communities of communicating groups. Many of these groups discuss ideological and political topics. It is not uncommon that the participants in such discussions split into two or more subgroups. The members
Groups with Few Normalizer Subgroups
 IRISH MATH. SOC. BULLETIN 56 (2005), 103–113
, 2005
"... The behaviour of normalizer subgroups of a group has often a strong influence on the structure of the group itself. In this paper groups with finitely many normalizers of subgroups with a given property χ are investigated, for various relevant choices of the property χ. ..."
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Cited by 3 (2 self)
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The behaviour of normalizer subgroups of a group has often a strong influence on the structure of the group itself. In this paper groups with finitely many normalizers of subgroups with a given property χ are investigated, for various relevant choices of the property χ.
THE STABLE HOMOLOGY OF CONGRUENCE SUBGROUPS
"... 0.1. Introduction. Let F be a number field, and let Γ = SLN(OF). For an integer M, let Γ(M) denote the principal congruence subgroup of level M. The cohomology of Γ in any fixed degree is well known to be stable as N → ∞ stable in fixed degree [Cha80]. The cohomology of Γ(M), however, does not stab ..."
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Cited by 4 (2 self)
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0.1. Introduction. Let F be a number field, and let Γ = SLN(OF). For an integer M, let Γ(M) denote the principal congruence subgroup of level M. The cohomology of Γ in any fixed degree is well known to be stable as N → ∞ stable in fixed degree [Cha80]. The cohomology of Γ(M), however, does
Contrasting Subgroup Discovery
"... Subgroup discovery methods find interesting subsets of objects of a given class. Motivated by an application in bioinformatics, we first define a generalized subgroup discovery problem. In this setting, a subgroup is interesting if its members are characteristic for their class, even if the classes ..."
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. To find such subgroups, we propose an approach that consists of two subgroup discovery steps and an intermediate, contrast set definition step. This approach is applicable in various application areas. An example is biology, where interesting subgroups of genes are searched by using gene expression data
HIDDEN SYMMETRY SUBGROUP PROBLEMS
, 2012
"... We advocate a new approach for addressing hidden structure problems and finding efficient quantum algorithms. We introduce and investigate the hidden symmetry subgroup problem (HSSP), which is a generalization of the wellstudied hidden subgroup problem (HSP). Given a group acting on a set and an or ..."
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Cited by 1 (1 self)
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We advocate a new approach for addressing hidden structure problems and finding efficient quantum algorithms. We introduce and investigate the hidden symmetry subgroup problem (HSSP), which is a generalization of the wellstudied hidden subgroup problem (HSP). Given a group acting on a set
Irreducible Sprepresentations and subgroup distortion in the mapping class group
, 2007
"... We prove that various subgroups of the mapping class group Mod(Σ) of a surface Σ are at least exponentially distorted. Examples include the Torelli group (answering a question of Hamenstädt), the “pointpushing ” and surface braid subgroups, and the Lagrangian subgroup. For surfaces Σ with boundary, ..."
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Cited by 14 (5 self)
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We prove that various subgroups of the mapping class group Mod(Σ) of a surface Σ are at least exponentially distorted. Examples include the Torelli group (answering a question of Hamenstädt), the “pointpushing ” and surface braid subgroups, and the Lagrangian subgroup. For surfaces Σ with boundary
Results 1  10
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1,591