# Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Editorial Board Member: Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D.

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## Most Downloaded Articles

- Trace inequalities for operators associated to regular Dirichlet forms
- Notice of retraction
- Distances between Banach spaces by Kalton, Nigel J and Ostrovskii, Mikhail I
- Correction to A common generalization of metric, ultrametric and topological fixed point theorems [Forum Math. 27 (2015), 303–327] by Kuhlmann, Katarzyna and Kuhlmann, Franz-Viktor
- p-Extensions of free pro-p groups by Herfort, W.N/ Ribes, L and Zalesskii, P.A
- QE-transitive abelian groups by Dugas, Manfred
- Corrigendum: Some characterizations of finite groups in which semipermutability is a transitive relation [Forum Math. 22 (2010), 855–862] by Al-Sharo, Kahled A./ Beidleman, James C./ Heineken, Hermann and Ragland, Matthew F.
- Erratum to The distribution of the logarithm in an orthogonal and a symplectic family of L-functions [Forum Math. 26 (2014), 523–546] by Hough, Bob
- Frontmatter
- Masthead
- Geometric asymptotics and the logarithmic Sobolev inequality by Beckner, William
- Corrigendum to On some multiplicity and mixed multiplicity formulas [Forum Math. 26 (2014), 413–442] by Viet, Duong Quoc and Thanh, Truong Thi Hong
- Ordered Manifolds, Invariant Cone Fields, and Semigroups by Lawson, Jimmie D.
- On Barnes beta distributions, Selberg integral and Riemann xi by Ostrovsky, Dmitry
- Frontmatter
- Multi-parameter Triebel–Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition by Ding, Wei/ Lu, Guozhen and Zhu, Yueping
- Littlewood–Paley functions on homogeneous groups by Ding, Yong and Sato, Shuichi
- Erratum to: “Intrinsic ultracontractivity for non-symmetric Lévy processes” [Forum Math. 21 (2009) 43–66] by Kim, Panki and Song, Renming
- Frontmatter
- Boundedness of singular integrals associated to surfaces of revolution on Triebel–Lizorkin spaces by Li, Wenjuan/ Si, Zengyan and Yabuta, Kôzô

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- Titelei
- On Function Spaces of Variable Order of Differentiation
- The Functor Bext under the Negation of CH
- Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
- Asymptotische Entwicklungen für unvollständige Gammafunktionen
- Symmetry and Overdetermined Boundary Value Problems
- Harmonic Differential Operators
- Hyperbolic Perturbation Problems Involving Time Derivatives on the Boundary
- Correspondances de Shimura et quaternions
- Function Spaces of Sobolev Type on Riemannian Symmetric Manifolds
- Variantes des inégalités de Sobolev et inégalités de Trudinger pour les groupes de Lie et les variétés riemanniennes
- Bernoulli and Gibbs Probabilities of Subgroups of {0, 1}
- A Short Proof of Selberg’s Generalized Beta Formula
- Verschlingungssysteme in glatten Darstellungsformen
- Trace Theorems for Regular Functions of Several Quaternion Variables
- Weighted Parabolic Triebel Spaces of Product Type. Fourier Multipliers and Pseudo-Differential Operators
- On Continuous Dependence, on Noncharacteristic Cauchy Data, for Level Lines of Solutions of the Heat Equation
- Automorphisms of Bounded Abelian Groups
- Bockstein Operations in Morava -Theories
- Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points
- Laplace Transforms and α-Times Integrated Semigroups

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**On the Structure of the Normal Subgroups of a Group: Nilpotency**

Citation Information: Forum Mathematicum. Volume 3, Issue 3, Pages 581–594, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/form.1991.3.581, December 2009

### Publication History

- Published Online:
- 2009-12-11

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*Glasgow Mathematical Journal*, 1993, Volume 35, Number 01, Page 95

## Related Content

- Titelei
- On Function Spaces of Variable Order of Differentiation
- The Functor Bext under the Negation of CH
- Classification of 4-Dimensional Generalized Symmetric Planes
- Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
- Asymptotische Entwicklungen für unvollständige Gammafunktionen
- Symmetry and Overdetermined Boundary Value Problems
- Some Applications of Beilinson's Theorem to Projective Spaces and Quadrics
- Harmonic Differential Operators
- Hyperbolic Perturbation Problems Involving Time Derivatives on the Boundary
- Correspondances de Shimura et quaternions
- Manifold Approximate Fibrations Are Approximately Bundles
- Classes of Modules
- Function Spaces of Sobolev Type on Riemannian Symmetric Manifolds
- A Qualitative Uncertainty Principle for Certain Locally Compact Groups
- Variantes des inégalités de Sobolev et inégalités de Trudinger pour les groupes de Lie et les variétés riemanniennes
- A Note on Quasicontinuous Kernels Representing Quasi-Linear Positive Maps
- Bernoulli and Gibbs Probabilities of Subgroups of {0, 1} S
- A Short Proof of Selberg’s Generalized Beta Formula
- Verschlingungssysteme in glatten Darstellungsformen
- Absolute Galois Groups of p-Adically Maximal PpC Fields
- Trace Theorems for Regular Functions of Several Quaternion Variables
- Weighted Parabolic Triebel Spaces of Product Type. Fourier Multipliers and Pseudo-Differential Operators
- On Continuous Dependence, on Noncharacteristic Cauchy Data, for Level Lines of Solutions of the Heat Equation
- Automorphisms of Bounded Abelian Groups
- Bockstein Operations in Morava K-Theories
- Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points
- On the Structure of the Normal Subgroups of a Group: Nilpotency
- Laplace Transforms and α-Times Integrated Semigroups
- Weyl Numbers in Function Spaces II

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