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Displaying 181 – 200 of 855

The defect of weak approximation for homogeneous spaces

Mikhail Borovoi (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

The Dehn functions of $O u t (F_{n})$ and $A u t (F_{n})$

Martin R. Bridson, Karen Vogtmann (2012)

Annales de l’institut Fourier

For $n$ at least 3, the Dehn functions of $O u t (F_{n})$ and $A u t (F_{n})$ are exponential. Hatcher and Vogtmann proved that they are at most exponential, and the complementary lower bound in the case $n = 3$ was established by Bridson and Vogtmann. Handel and Mosher completed the proof by reducing the lower bound for $n$ bigger than 3 to the case $n = 3$ . In this note we give a shorter, more direct proof of this last reduction.

The density of representation degrees

Martin Liebeck, Dan Segal, Aner Shalev (2012)

Journal of the European Mathematical Society

For a group $G$ and a positive real number $x$ , define $d_{G} (x)$ to be the number of integers less than $x$ which are dimensions of irreducible complex representations of $G$ . We study the asymptotics of $d_{G} (x)$ for algebraic groups, arithmetic groups and finitely generated linear groups. In particular we prove an “alternative” for finitely generated linear groups $G$ in characteristic zero, showing that either there exists $α > 0$ such that $d_{G} (x) > x^{α}$ for all large $x$ , or $G$ is virtually abelian (in which case $d_{G} (x)$ is bounded).

The Derived Series of a Join of Subnormal Sugroups.

James E. Roseblade (1970)

Mathematische Zeitschrift

The determination of abelian Hall subgroups by a conjugacy class structure.

Wolfgang Kimmerle, Robert Sandling (1992)

Publicacions Matemàtiques

The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.

The determination of parabolic points in modular and extended modular groups by continued fractions.

Koruoğlu, Özden (2010)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

The diameter of the character degree graph..

W. Willems, O. Manz, Th.R. Wolf (1989)

Journal für die reine und angewandte Mathematik

The dimension of a variety

Ewa Graczyńska, Dietmar Schweigert (2007)

Discussiones Mathematicae - General Algebra and Applications

Derived varieties were invented by P. Cohn in [4]. Derived varieties of a given type were invented by the authors in [10]. In the paper we deal with the derived variety $V_{σ}$ of a given variety, by a fixed hypersubstitution σ. We introduce the notion of the dimension of a variety as the cardinality κ of the set of all proper derived varieties of V included in V. We examine dimensions of some varieties in the lattice of all varieties of a given type τ. Dimensions of varieties of lattices and all subvarieties...

The dimension of some affine Deligne–Lusztig varieties

Eva Viehmann (2006)

Annales scientifiques de l'École Normale Supérieure

THE DIRECT SUM OF SEMIGROUPS IS OF INNER TYPE

R.B. Hora, Naoki Kimura (1975)

Semigroup forum

The Discrete Series of the Linear Groups SL (n, q).

Gustav I. Lehrer (1972)

Mathematische Zeitschrift

The distribution of descents and length in a Coxeter group.

Reiner, Victor (1995)

The Electronic Journal of Combinatorics [electronic only]

The distribution of eigenvalues of randomized permutation matrices

Joseph Najnudel, Ashkan Nikeghbali (2013)

Annales de l’institut Fourier

In this article we study in detail a family of random matrix ensembles which are obtained from random permutations matrices (chosen at random according to the Ewens measure of parameter $θ > 0$ ) by replacing the entries equal to one by more general non-vanishing complex random variables. For these ensembles, in contrast with more classical models as the Gaussian Unitary Ensemble, or the Circular Unitary Ensemble, the eigenvalues can be very explicitly computed by using the cycle structure of the permutations....

The distribution of second $p$ -class groups on coclass graphs

Daniel C. Mayer (2013)

Journal de Théorie des Nombres de Bordeaux

General concepts and strategies are developed for identifying the isomorphism type of the second $p$ -class group $G = Gal (F_{p}^{2} (K) | K)$ , that is the Galois group of the second Hilbert $p$ -class field $F_{p}^{2} (K)$ , of a number field $K$ , for a prime $p$ . The isomorphism type determines the position of $G$ on one of the coclass graphs $𝒢 (p, r)$ , $r \geq 0$ , in the sense of Eick, Leedham-Green, and Newman. It is shown that, for special types of the base field $K$ and of its $p$ -class group ${Cl}_{p} (K)$ , the position of $G$ is restricted to certain admissible branches of coclass...

The divisible radical of a group

B.A.F. Wehrfritz (2009)

Open Mathematics

We consider the existence or otherwise of canonical divisible normal subgroups of groups in general. We present more counterexamples than positive results. These counterexamples constitute the substantive part of this paper.

Currently displaying 181 – 200 of 855