Search results for "table"

Permutability in finite soluble groups

1994

Let G be a finite soluble group and let Σ be a Hall system of G. A subgroup U of G is said to be Σ-permutable if U permutes with every member of Σ. In [1; I, 4·29] it is proved that if U and V are Σ-permutable subgroups of G then so also are U ∩ V and 〈U, V〉.

Extensions of cocycles for hyperfinite actions and applications

1997

Given a countable, hyperfinite, ergodic and measure-preserving equivalence relationR on a standard probability space (X, ℬ, μ) and an elementW of the normalizerN (R) ofR, we investigate the problem of extendingR-cocycles to\(\bar R\), where\(\bar R\) is the relation generated byR andW. As an application, we obtain that for a Bernoulli automorphism the smallest family of natural factors in sense of [6] consists of all factors. Given an automorphism which is embeddable in a measurable flow and a compact, metric group, we show that for a typical cocycle we cannot lift the whole flow to the centralizer of the corresponding group extension.

Finite groups which are products of pairwise totally permutable subgroups

1998

Finite groups which are products of pairwise totally permutable subgroups are studied in this paper. The -residual, -projectors and -normalizers in such groups are obtained from the corresponding subgroups of the factor subgroups under suitable hypotheses.

Symbolic Dynamics of Geodesic Flows on Trees

2019

In this chapter, we give a coding of the discrete-time geodesic ow on the nonwandering sets of quotients of locally finite simplicial trees X without terminal vertices by nonelementary discrete subgroups of Aut(X) by a subshift of finite type on a countable alphabet.

A submatrix of the character table

2000

Let G be a finite group and let p be a prime number. We consider the Submatrix of the character table of G whose rows are indexed by the characters in blocks of maximal defect, and whose columns are indexed by the conjugacy classes of P′-size. We prove that this matrix has maximum rank.

Permutable products of supersoluble groups

2004

We investigate the structure of finite groups that are the mutually permutable product of two supersoluble groups. We show that the supersoluble residual is nilpotent and the Fitting quotient group is metabelian. These results are consequences of our main theorem, which states that such a product is supersoluble when the intersection of the two factors is core-free in the group.

Central idempotents and units in rational group algebras of alternating groups

1998

Let ℚAn be the group algebra of the alternating group over the rationals. By exploiting the theory of Young tableaux, we give an explicit description of the minimal central idempotents of ℚAn. As an application we construct finitely many generators for a subgroup of finite index in the centre of the group of units of ℚAn.

Note on sums containing small divisors

1976

4-(3-Hydroxy-4-methoxyphenyl)-3-(3,4,5-trimethoxyphenyl)-2,5-dihydro-1H-pyrrole-2,5-dione

2005

The title compound, C20H19NO7, crystallizes in the space group Pna21. X-ray analysis shows the compound has the desired 3′-hydroxy and 4′-methoxy substitution pattern, as in the natural template combretastatin A-4.

La situación del pequeño comercio del área metropolitana de Valencia ante el siglo XXI. Una aproximación cualitativa

1998

En este artículo se procede a resaltar los aspectos más sobresalientes que caracterizan a los pequeños comercios tradicionales, según las opiniones recogidas en 300 encuestas realizadas a comerciantes del sector. El espacio elegido, el Area Metropolitana de Valencia, es la mayor área de concentración de grandes superficies comerciales de la Comunidad Valenciana. La crisis de parte de los pequeños comercios y el conservadurismo de los comerciantes son los hechos más destacados.