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Group Rings Whose Symmetric Units are Solvable

Communications in Algebra, 2009
Let K be an infinite field of characteristic different from 2, and G a group. Under suitable restrictions upon G, we classify the groups such that the symmetric units of KG satisfy the solvability identity (x 1, x 2,…, x 2 n ) o  = 1, for some n.
Gregory T. Lee, SPINELLI, ERNESTO
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Semiparametric unit root tests based on symmetric estimators

Statistics & Probability Letters, 1997
Based on symmetric estimation and the weighted symmetric estimation of \textit{S.G. Pantula} et al. [J. Bus. Econ. Stat. 12, 449-459 (1994)] and \textit{H.J. Park} and \textit{W.A. Fuller} [J. Time Ser. Anal. 16, No. 4, 415-429 (1995)], new semiparametric tests for testing a unit root under the general situation of \textit{P.C.B.
Shin, Dong Wan, So, Beong-Soo
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Group Identities on Symmetric Units

2010
Let F be an infinite field of characteristic different from 2 and G a group. We examine the set of units, \({\mathcal{U}}^{+}(FG)\), symmetric under the natural involution ∗ sending each group element to its inverse. The conditions under which \({\mathcal{U}}^{+}(FG)\) satisfies a group identity are presented, subject to the restriction that G ∕ T is a
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Nilpotency class of symmetric units of group algebras

Publicationes Mathematicae Debrecen, 2011
Let F be a field of odd prime characteristic p, G a group, U the group of units in the group algebra FG, and U+ the subgroup of U generated by the elements of U fixed by the anti-automorphism of FG which inverts all elements of G. It is known that U is nilpotent if G is nilpotent and the commutator subgroup G' has p-power order, and then the nilpotency
ZSOLT BALOGH, TIBOR JUHASZ
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On Some Symmetric Sets of Unit Vectors

Mathematics Magazine, 1991
(1991). On Some Symmetric Sets of Unit Vectors. Mathematics Magazine: Vol. 64, No. 4, pp. 271-273.
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Symmetrical tetrasubstituted phthalocyanines containing condensed 2-alkylimidazole units

Mendeleev Communications, 1999
Symmetrical tetrasubstituted copper phthalocyanines with four condensed 2-alkylimidazole units have been synthesised and characterised.
Evgeny V. Kudrik   +1 more
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Central Units, Class Sums and Characters of the Symmetric Group

Communications in Algebra, 2010
In the search for central units of a group algebra, we look at the class sums of the group algebra of the symmetric group S n in characteristic zero, and we show that they are units in very special instances.
GIAMBRUNO, Antonino, Leal, G.
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Group Identities on Units and Symmetric Units of Group Rings

2010
Group Identities on Units of Group Rings.- Group Identities on Symmetric Units.- Lie Identities on Symmetric Elements.- Nilpotence of ...
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Symmetrizing and unitizing transformations for linear smoother weights

Computational Statistics, 2001
The author considers i.i.d. smoothers \(\hat m(X_i)=\sum_{j=1}^nw_{ij}Y_j\) as estimators of regression functions \(m(x)=E(Y_i |X_i=x)\) for i.i.d. data \((X_i,Y_i)_{i=1}^n\). It is proposed to improve any given weights \(w_{ij}\) (e.g., of Nadaraya-Watson or smoothing spline estimators) by changing them to \(w_{ij}^0\) which minimize \(\sum_{i,j=1}^n ...
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Air-SIW Unit Cell with Glide-Symmetric Structures

2023 17th European Conference on Antennas and Propagation (EuCAP), 2023
Cleofás Segura-Gómez   +4 more
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