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Displaying 21 – 40 of 112

The Bass conjecture and growth in groups

Anders Karlsson, Markus Neuhauser (2004)

Colloquium Mathematicae

We discuss Bass's conjecture on the vanishing of the Hattori-Stallings rank from the viewpoint of geometric group theory. It is noted that groups without u-elements satisfy this conjecture. This leads in particular to a simple proof of the conjecture in the case of groups of subexponential growth.

The Bauer trees of the exceptional Chevalley groups of type E6.

G. Malle, Gerhard Hiss, Frank Lübeck (1995)

Manuscripta mathematica

The blocks of finite classical groups.

Paul Fong, Bhama Srinivasan (1989)

Journal für die reine und angewandte Mathematik

The Blocks of Finite General Linear and Unitary Groups.

Paul Fong, Bhama Srinivasan (1982)

Inventiones mathematicae

The Brauer tree of the principal 19-block of the sporadic simple Thompson group.

Cooperman, Gene, Hiss, Gerhard, Lux, Klaus, Müller, Jürgen (1997)

Experimental Mathematics

The Burau representation is not faithful for $n = 5$ .

Bigelow, Stephen (1999)

Geometry & Topology

The cancellation problem for homotopy equivalent representations of finite groups: a survey

Paweł Traczyk (1986)

Banach Center Publications

The centre of completed group algebras of pro- $p$ groups.

Ardakov, Konstantin (2004)

Documenta Mathematica

The characters of a group of type $X ≀ ℤ_{p}$ .

Revin, D.O. (2004)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

The characters of the hecatonicosahedroidal group.

Larry C. Grove (1974)

Journal für die reine und angewandte Mathematik

The Chern classes modulo $p$ of a regular representation. (Les classes de Chern modulo $p$ d'une représentation régulière.)

Kahn, Bruno (1999)

Documenta Mathematica

The converse of Schur's Lemma in group rings

M. Alaoui, A. Haily (2006)

Publicacions Matemàtiques

In this paper, we study the structure of group rings by means of endomorphism rings of their modules. The main tools used here, are the subrings fixed by automorphisms and the converse of Schur's lemma. Some results are obtained on fixed subrings and on primary decomposition of group rings.

The decomposition numbers of Hecke algebras of type F4 with unequal parameters.

Kirsten Bremke (1994)

Manuscripta mathematica

The Decomposition numbers of the Hecke algebra of type F4.

Meinolf Geck, Klaus Lux (1991)

Manuscripta mathematica

The Decomposition of Tensors over Fields of Prime Characteristic.

Gordon D. James (1980)

Mathematische Zeitschrift

The defect groups of a clique, p-solvable groups, and Alperin's conjecture.

Harald Ellers (1995)

Journal für die reine und angewandte Mathematik

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).

Currently displaying 21 – 40 of 112

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Displaying 21 – 40 of 112

The Bass conjecture and growth in groups

The Bauer trees of the exceptional Chevalley groups of type E6.

The blocks of finite classical groups.

The Blocks of Finite General Linear and Unitary Groups.

The Brauer tree of the principal 19-block of the sporadic simple Thompson group.

The Burau representation is not faithful for $n = 5$ .

The cancellation problem for homotopy equivalent representations of finite groups: a survey

The centre of completed group algebras of pro- $p$ groups.

The characters of a group of type $X ≀ ℤ_{p}$ .

The characters of the hecatonicosahedroidal group.

The Chern classes modulo $p$ of a regular representation. (Les classes de Chern modulo $p$ d'une représentation régulière.)

The converse of Schur's Lemma in group rings

The decomposition numbers of Hecke algebras of type F4 with unequal parameters.

The Decomposition numbers of the Hecke algebra of type F4.

The Decomposition of Tensors over Fields of Prime Characteristic.

The defect groups of a clique, p-solvable groups, and Alperin's conjecture.

The density of representation degrees

The diameter of the character degree graph..

The Equivalence of Various Generalizations of Group Rings and Modules.

The Euler class and periodicity of group cohomology.

Currently displaying 21 – 40 of 112