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Displaying 1561 – 1580 of 2186

The skeleton of a reduced word and a correspondence of Edelman and Green.

Felsner, Stefan (2001)

The Electronic Journal of Combinatorics [electronic only]

The small index property for quadratic spaces.

Chirkov, I.V., Shevelin, M.A. (2005)

Sibirskij Matematicheskij Zhurnal

The Soluble Length of Soluble Linear Groups.

M.F. Newman (1972)

Mathematische Zeitschrift

The square model for random groups

Tomasz Odrzygóźdź (2016)

Colloquium Mathematicae

We introduce a new random group model called the square model: we quotient a free group on n generators by a random set of relations, each of which is a reduced word of length 4. We prove that, just as in the Gromov model, for densities > 1/2 a random group in the square model is trivial with overwhelming probability and for densities < 1/2 a random group is hyperbolic with overwhelming probability. Moreover, we show that for densities d < 1/3 a random group in the square model does not...

The Steinberg Function of a Finite Lie Algebra.

T.A. Springer (1980)

Inventiones mathematicae

The structure of a complete $l$ -group

Dao Rong Tong (1994)

Czechoslovak Mathematical Journal

The structure of disjoint iteration groups on the circle

Krzysztof Ciepliński (2004)

Czechoslovak Mathematical Journal

The aim of the paper is to investigate the structure of disjoint iteration groups on the unit circle $𝕊^{1}$ , that is, families $ℱ = {F^{v} 𝕊^{1} ⟶ 𝕊^{1} v \in V}$ of homeomorphisms such that $F^{v_{1}} \circ F^{v_{2}} = F^{v_{1} + v_{2}}, v_{1}, v_{2} \in V,$ and each $F^{v}$ either is the identity mapping or has no fixed point ( $(V, +)$ is an arbitrary $2$ -divisible nontrivial (i.e., $c a r d V > 1$ ) abelian group).

The structure of finite p-groups: effective proof of the coclass conjectures.

Aner Shalev (1994)

Inventiones mathematicae

The structure of $G$ -free nilpotent groups of step 3.

Amaglobeli, M. (2004)

Georgian Mathematical Journal

The structure of the rings assigned to group varieties

Bohuslav Sivák (1985)

Mathematica Slovaca

The subgroups of $M_{24}$ , or how to compute the table of marks of a finite group.

Pfeiffer, Götz (1997)

Experimental Mathematics

The surjectivity problem for one-generator, one-relator extensions of torsion-free groups.

Cohen, Marshall M., Rourke, Colin (2001)

Geometry & Topology

The Symmetries of Classes of Elements in a Free Group of Rank Two.

M.J. Wicks (1974)

Mathematische Annalen

The symmetry of intersection numbers in group theory.

Scott, Peter (1998)

Geometry & Topology

The tame automorphism group of an affine quadric threefold acting on a square complex

Cinzia Bisi, Jean-Philippe Furter, Stéphane Lamy (2014)

Journal de l’École polytechnique — Mathématiques

We study the group $Tame ({SL}_{2})$ of tame automorphisms of a smooth affine $3$ -dimensional quadric, which we can view as the underlying variety of ${SL}_{2} (ℂ)$ . We construct a square complex on which the group admits a natural cocompact action, and we prove that the complex is $CAT (0)$ and hyperbolic. We propose two applications of this construction: We show that any finite subgroup in $Tame ({SL}_{2})$ is linearizable, and that $Tame ({SL}_{2})$ satisfies the Tits alternative.

Currently displaying 1561 – 1580 of 2186