Search results for " Abel"

1-(v,3,r) designs and the equation x+y+z=0 in finite abelian groups

2009

Let (G, +) be a finite abelian group with more than three elements and let B_3 be the family of all the unordered triples {x,y,z} of distinct elements of G such that x+y+z=0. We show that (G, B_3) is a 1-(v,3,r) design if and only if G is either an elementary abelian 3-group or the direct sum of Z/2Z with an elementary abelian 3-group. We also characterize the groups containing at least an element that does not belong to any triple in B_3

Tur e Iraj, Caín y Abel: Semejanzas iconográficas en la interminable lucha del mal y el bien.

2015

ABSTRACT: The duality between good and evil is a common topic in all civilizations regardless of chronology or geographical location. It is a conflict reflected in art history, and on the present occasion, through the iconographic types of Cain killing Abel as well as Tur murdering Iraj. The roots of these myths are deeply embedded in two highly relevant written sources, the Bible and the Shahnameh or The Book of Kings . The latter was written by the great Iranian poet Ferdowsi.  The legends, despite having different origins, nevertheless have many similarities and they share a particular iconographic type. I analyze each of the myths along with their pictorial representations, which connec…

Kurzweil-Henstock type integral on zero-dimensional group and some of its application

2008

A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case.

Quasi-linear time computation of the abelian periods of a word

2012

Computing abelian periods in words

2011

International audience

Mujer, poder político y democracia paritaria. “Mujer y representación política institucional en la Comunidad Valenciana. 1977-1995. 2 parte.

2014

Mujer, poder político y democracia paritaria. “Mujer y representación política institucional en la Comunidad Valenciana. 1977-1995. 2 parte. En esta segunda parte se recogen las mujeres que han formado parte de la Administración Local (alcaldesas, diputadas provinciales y FVMP), en los sindicatos, asi como en otras instituciones: Consell Valencià de Cultura, Consejo de Radiotelevisión Valenciana, Sindicatura de Agravios, Academia Valenciana de la Lengua, universidades, direcciones de partidos políticos, y otras organizaciones de la Comunidad Valenciana. “Mujer y representación política institucional en la Comunidad Valenciana. 1977-1995. Diputadas, ministras y cargos institucionales” es la …

GEOMETRIC EQUIVALENCE OF ALGEBRAS

2001

In this paper, we study the geometric equivalence of algebras in several varieties of algebras. We solve some of the problems formulated in [2], in particular, that of geometric equivalence for real-closed fields and finitely generated commutative groups.

Sui gruppi unitari finitari e sulla congettura di dieudonné

1996

In this paper we consider some questions concerning unitary spaces (V, h), even though (V, h) is not finitely generated.

Perron type integral on compact zero-dimensional Abelian groups

2008

Perron and Henstock type integrals defined directly on a compact zero-dimensional Abelian group are studied. It is proved that the considered Perron type integral defined by continuous majorants and minorants is equivalent to the integral defined in the same way, but without assumption on continuity of majorants and minorants.

Hyper-abelian groups with finite co-central rank

2004

AbstractA group G has finite co-central rank s if there exists a least non-negative integer s such that every finitely generated subgroup H can be generated by at most s elements modulo the centre of H. The investigation of such groups has been started in [J.P. Sysak, A. Tresch, J. Group Theory 4 (2001) 325]. It is proved that hyper-abelian groups with finite co-central rank are locally soluble. The interplay between the Prüfer rank condition, the condition of having finite abelian section rank and the finite co-central rank condition is studied. As one result, a hyper-abelian group G with finite co-central rank has an ascending series with abelian factors of finite rank and every chief fac…