Search results for "Primitive group"

showing 4 items of 4 documents

Our Friend and Mathematician Karl Strambach

2020

This paper is dedicated to Karl Strambach on the occasion of his 80th birthday. Here we want to describe our work with Prof. Karl Strambach.

Applied Mathematicsimprimitive groupGrünwald spaces shells of curve010102 general mathematicsgroup theoryArt historyloop01 natural sciencescomplex curveLie group010101 applied mathematicsHjelmslev geometryMathematics (miscellaneous)Work (electrical)Mathematikalgebraic groupaffine connectionSettore MAT/03 - Geometria0101 mathematicsMathematicsBiographiebibliographiegeodesics
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A class of imprimitive groups

2010

We classify imprimitive groups inducing the alternating group A4 on the set of blocks, with the inertia subgroup satisfying some very natural geometrical conditions which force the group to operate linearly.

Class (set theory)Algebra and Number Theorypermutation groups imprimitive groups sharply transitive groupsPermutation groupsGroup (mathematics)Applied Mathematicsmedia_common.quotation_subjectAlternating groupimprimitive groupsPermutation groupInertiaCombinatoricsPermutation groups; imprimitive groups; sharply transitive groupsSettore MAT/03 - GeometriaMathematicsmedia_commonsharply transitive groups
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NEAR-RINGS AND GROUPS OF AFFINE MAPPINGS

2013

We classify semi-topological locally compact and semi-algebraic near-rings R where the set of non-invertible elements of R forms an ideal I of R such that the multiplicative group of R/I acts sharply transitively on I\{0}. To achieve our results we use as a main tool the classi cation of locally compact and algebraic (2; 2)-transformation groups given in two previuos papers.

Local near-rings imprimitive groups affine mappingsSettore MAT/03 - Geometria
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The number of maximal subgroups and probabilistic generation of finite groups

2020

[EN] In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite d-generated group with high probability which are significantly tighter than the ones obtained in the paper of Jaikin-Zapirain and Pyber (Random generation of finite and profinite groups and group enumeration, Ann. Math., 183 (2011) 769-814) are obtained. The results of Jaikin-Zapirain and Pyber, as well as other results of Lubotzky, Detomi, and Lucchini, appear as particular cases of our theorems.

Primitive groupAnàlisi matemàticaProbabilitatsProbabilistic generationFinite groupMaximal subgroupMATEMATICA APLICADA
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