Search results for "Compact group"

showing 6 items of 26 documents

Representations of Finite Groups

2009

Pure mathematicsProfinite groupGroup of Lie typeCompact groupLocally finite groupGeneral MedicineGroup theoryGroup representationRepresentation theory of finite groupsMathematicsSchur multiplierOberwolfach Reports
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Locally compact groups which are just not compact

2010

A Just-Non-Compact group, or briefly a JNC group, is a Hausdorff topological group which is not a compact group but all of whose proper Hausdorff quotients are compact groups. Intuitively, it is clear that these groups are rich in compact quotients. Locally compact JNC groups are largely described in the present paper.

Pure mathematicsSettore MAT/02 - AlgebraSettore MAT/05 - Analisi MatematicaGeneral MathematicsJust-Non-Compact groups Lie groups compact groupsLie groupLocally compact spaceSettore MAT/03 - GeometriaMathematics
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On compact Just-Non-Lie groups

2007

A compact group is called a compact Just-Non-Lie group or a compact JNL group if it is not a Lie group but all of its proper Hausdorff quotient groups are Lie groups. We show that a compact JNL group is profinite and a compact nilpotent JNL group is the additive group of p -adic integers for some prime. Examples show that this fails for compact pronilpotent and solvable groups.

Settore MAT/02 - AlgebraSettore MAT/03 - Geometriacompact Just-Non-Lie groups centerfree compact groups
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Probability of mutually commuting n-tuples in some classes of compact groups

2008

In finite groups the probability that two randomly chosen elements commute or randomly ordered n−tuples of elements mutually commute have recently attracted interest by many authors. There are some classical results estimating the bounds for this kind of probability so that the knowledge of the whole structure of the group can be more accurate. The same problematic has been recently extended to certain classes of infinite compact groups in [2], obtaining restrictions on the group of the inner automorphisms. Here such restrictions are improved for a wider class of infinite compact groups.

Settore MAT/02 - AlgebraSettore MAT/05 - Analisi MatematicaSettore MAT/03 - GeometriaMutually commuting n-tuples commutativity degree compact groups topological groups
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A note on relative isoclinism classes of compact groups

2009

Settore MAT/02 - AlgebraSettore MAT/05 - Analisi MatematicaSettore MAT/03 - Geometriacompact groups Haar measure $p$-groups commutativity degree
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Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms

2009

Abstract Denjoy and P-path Kurzweil-Henstock type integrals are defined on compact subsets of some locally compact zero-dimensional abelian groups. Those integrals are applied to obtain an inversion formula for the multiplicative integral transform.

Settore MAT/05 - Analisi MatematicaGeneral MathematicsPath integral formulationMultiplicative functionMathematical analysisLocally compact spaceDenjoy integral multiplicative transformsAbelian groupLocally compact groupIntegral transformInversion (discrete mathematics)MathematicsVolume integral
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