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Lie properties of symmetric elements in group rings
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
Let * be an involution of a group G extended linearly to the group algebra KG. We prove that if G contains no 2-elements and K is a field of characteristic p, 0 2, then the *-symmetric elements of KG are Lie nilpotent (Lie ...
ON THE RADICAL OF A FREE MALCEV ALGEBRA
(AMER MATHEMATICAL SOCPROVIDENCE, 2012)
We prove that the prime radical rad M of the free Malcev algebra M of rank more than two over a field of characteristic not equal 2 coincides with the set of all universally Engelian elements of M. Moreover, let T(M) be ...
An evolution algebra in population genetics
(Elsevier Inc., 2014)
We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. We study basic properties of the algebra. ...
The Wedderburn principal theorem for generalized almost-Jordan algebras
(2007)
We study commutative algebras A over fields of characteristic ≠2, 3 which satisfy the identity β{x(y(xx)) - x(x(xy))} + γ{y(x(xx)) - x(x(xy))} = 0. We do not assume power-associativity. We find the Peirce decomposition of ...
Group algebras of torsion groups and Lie nilpotence
(WALTER DE GRUYTER & CO, 2010)
Let * be an involution of a group algebra FG induced by an involution of the group G. For char F not equal 2, we classify the torsion groups G with no elements of order 2 whose Lie algebra of *-skew elements is nilpotent.
Isometric actions on pseudo-Riemannian nilmanifolds
(Springer, 2014-02)
This work deals with the structure of the isometry group of pseudo-Riemannian 2-step nilmanifolds. We study the action by isometries of several groups and we construct examples showing substantial differences with the ...
Spectral theory in a twisted groupoid setting: Spectral decompositions, localization and Fredholmness
(Universidad de Münster, 2020)
We study bounded operators defined in terms of the regular representations of the C*-algebra of an amenable, Hausdorff, second countable, locally compact groupoid endowed with a continuous 2-cocycle. We concentrate on ...
Sobre pE-grupos e pA-grupos finitos
(2012-09-13)
Um grupo G é um E – grupo (respectivamente, A-grupo) se G é tal que seus elementos comutam com suas respectivas imagens endomorfas (respectivamente, automorfas).Neste trabalho, estudamos algumas propriedades de E-grupos ...
On group actions on 1-dimensional manifolds
(Universidad de Chile, 2009)
En la tesis consideramos acciones de grupos en r,ariedades unidimensionales.
En e1 primer capÍtu1o probamos que 1a entropía de Ia acción de un grupo en el círculo,
por difeomorfismos de clase C2, es igual a la entropía ...
COMMUTATIVE AUTOMORPHIC LOOPS OF ORDER p(3)
(WORLD SCIENTIFIC PUBL CO PTE LTDSINGAPORE, 2012)
A loop is said to be automorphic if its inner mappings are automorphisms. For a prime p, denote by A(p) the class of all 2-generated commutative automorphic loops Q possessing a central subloop Z congruent to Z(p) such ...