Results 1 to 10 of about 545,509 (217)
Symmetric units in modular group algebras [PDF]
Communications in Algebra, 1996 Let p be a prime, G a locally finite p-group, K a commutative ring of characteristic p. The anti-automorphism g bar arrow pointing right g(-1) of G extends linearly to an anti-automorphism a bar arrow pointing right a* of KG. An element a of KG is called
Victor Bovdi +2 more
core +7 more sources
Chiral C2-Symmetric Diimines with 4,5-Diazafluorene Units [PDF]
Molecules, 2019 A synthetic approach to a new group of stable chiral C2-symmetric diimines with the 4,5-diazafluorene core has been developed based on condensation of dipinodiazafluorene with aromatic diamines.
Eugene S. Vasilyev +4 more
doaj +5 more sources
On symmetric units in group algebras [PDF]
Communications in Algebra, 2000 Let $U(KG)$ be the group of units of the group ring $KG$ of the group $G$ over a commutative ring $K$. The anti-automorphism $g\mapsto g\m1$ of $G$ can be extended linearly to an anti-automorphism $a\mapsto a^*$ of $KG$. Let $S_*(KG)=\{x\in U(KG) \mid x^*
Bovdi, Victor
core +3 more sources
Symmetric Distributions for Dependent Unit Vectors [PDF]
The Annals of Statistics, 1984 In this work the author generalizes the definitions of symmetry given in his paper reviewed above, Zbl 0545.62035, for the joint distribution of two dependent unit vectors and introduces bivariate generalization of D- symmetry and rotational symmetry. If the joint distribution of the two unit vectors is at least D-symmetric the information matrix for ...
Louis‐Paul Rivest
openalex +3 more sources
Hemicryptophane Cages with a C1-Symmetric Cyclotriveratrylene Unit
The Journal of Organic Chemistry, 2021 Two new hemicryptophanes combining a cyclotriveratrylene unit with either an aminotrisamide or a tris(2-aminoethyl)amine (tren) moiety have been synthesized. Although a conventional synthesis approach was used, the molecular cages obtained are devoid of the expected C3 symmetry.
Chunyang Li +8 more
openalex +5 more sources
Symmetric Units and Group Identities in Group Algebras [PDF]
, 2006 We describe those group algebras over fields of characteristic different from 2 whose units symmetric with respect to the classical involution, satisfy some group ...
Bódi, Viktor
core +6 more sources
Group rings whose symmetric units are nilpotent
Journal of Group Theory, 2007 Let \(G\) be a group and let \(K\) be a field. The group algebra \(KG\) has a natural involution \(*\) induced by the map sending each group element to its inverse. An element of \(KG\) is said to be symmetric (with respect to \(*\)), if it is stable under \(*\). Denote by \(U^+(KG)\) the set of symmetric units of \(KG\).
Gregory T. Lee +2 more
openalex +3 more sources
Rings With Involution Whose Symmetric Units Commute [PDF]
Canadian Journal of Mathematics, 1976 In the last few years many results have appeared which deal with questions of how various algebraic properties of the symmetric elements of a ring with involution, or the subring they generate, affect the structure of the whole ring. If the ring has an identity, similar questions may be posed by making assumptions about the symmetric units or subgroup ...
Charles Lanski
openalex +2 more sources
Traveling fronts in an array of coupled symmetric bistable units [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003 Traveling fronts are shown to occur in an array of nearest-neighbor coupled symmetric bistable units. When the local dynamics is given by the Lorenz equations we observe the route: standing→oscillating→traveling front, as the coupling is increased. A key step in this route is a gluing bifurcation of two cycles in cylindrical coordinates.
Diego Pazó, V. Pérez‐Muñuzuri
openalex +6 more sources
The Unit Distance Problem for Centrally Symmetric Convex Polygons [PDF]
Discrete & Computational Geometry, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ábrego, Silvia Fernández‐Merchant
openalex +4 more sources