Results 31 to 40 of about 17,401,899 (301)
Group rings with solvable 𝑛-Engel unit groups [PDF]
Proceedings of the American Mathematical Society, 1976 Let K G KG be the group ring of a group G G over a field of characteristic p ⩾ 0 , p ≠ 2 , 3 p \geqslant 0,\;p \ne 2,\;3 . Suppose G G contains no element of order p p (if
Fisher, J. L. +2 more
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Extrinsic calibration for motion estimation using unit quaternions and particle filtering [PDF]
Modeling, Identification and Control, 2020 This paper presents a method for calibration of the extrinsic parameters of a sensor system that combines a camera with an inertial measurement unit (IMU) to estimate the pendulum motion of a crane payload.
Aksel Sveier +2 more
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When unit groups of continuous inverse algebras are regular Lie groups [PDF]
, 2012 It is a basic fact in infinite-dimensional Lie theory that the unit group G(A) of a continuous inverse algebra A is a Lie group. We describe criteria ensuring that the Lie group G(A) is regular in Milnor's sense.
Helge Glockner, K. Neeb
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Integral Group Rings with Nilpotent Unit Groups [PDF]
Canadian Journal of Mathematics, 1976 Let R be a ring with unit element and G a finite group. We denote by RG the group ring of the group G over R and by U(RG) the group of units of this group ring.The study of the nilpotency of U(RG) has been the subject of several papers.
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Units in group rings of crystallographic groups [PDF]
Fundamenta Mathematicae, 2003 Summary: \textit{Z. S. Marciniak} and \textit{S. K. Seghal} [Lect. Notes Pure Appl. Math. 198, 185-198 (1998; Zbl 0944.16029)] initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. We use this approach for some special classes of crystallographic groups.
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Group Identities on Units of Group Algebras
Journal of Algebra, 2000 Let \(U\) be the group of units of the group algebra \(FG\), where \(G\) is a group and \(F\) is a field. This paper is concerned with determining when \(U\) satisfies a group identity. If \(G\) is torsion, then this question was settled in recent years, thereby yielding an affirmative solution to Hartley's problem.
Giambruno, A., Sehgal, S.K., Valenti, A.
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Groups of Units of Modular Group Algebras [PDF]
Proceedings of the American Mathematical Society, 1987 Let U ( G ) U(G) be the group of normalized units of the group algebra F [ G ] F[G] of a finite nonabelian p p -group G G over the field F = G F (
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Hypercentral Unit Groups and the Hyperbolicity of a Modular Group Algebra [PDF]
, 2006 We classify groups G such that the unit group 𝒰 1(ℤ G) is hypercentral. In the second part, we classify groups G whose modular group algebra has hyperbolic unit groups 𝒰 1(KG).
E. Iwaki, S. Juriaans
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Archimedean unital groups with finite unit intervals
International Journal of Mathematics and Mathematical Sciences, 2003 Let G be a unital group with a finite unit interval E, let n be the number of atoms in E, and let κ be the number of extreme points of the state space Ω(G).
David J. Foulis
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Groups of Negations on the Unit Square
The Scientific World Journal, 2014 The main results are about the groups of the negations on the unit square, which is considered as a bilattice. It is proven that all the automorphisms on it form a group; the set, containing the monotonic isomorphisms and the strict negations of the ...
Jiachao Wu
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