Search results for "group theory"
showing 10 items of 703 documents
Some problems about products of conjugacy classes in finite groups
2020
[EN] We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes. We also collect some problems that have only been partially solved.
Conjugacy problem for braid groups and Garside groups
2003
We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented by Birman, Ko and Lee. This algorithm can be applied not only to braid groups, but to all Garside groups (which include finite type Artin groups and torus knot groups among others).
Flux-gradient and source-term balancing for certain high resolution shock-capturing schemes
2009
Abstract We present an extension of Marquina’s flux formula, as introduced in Fedkiw et al. [Fedkiw RP, Merriman B, Donat R, Osher S. The penultimate scheme for systems of conservation laws: finite difference ENO with Marquina’s flux splitting. In: Hafez M, editor. Progress in numerical solutions of partial differential equations, Arcachon, France; July 1998], for the shallow water system. We show that the use of two different Jacobians at cell interfaces prevents the scheme from satisfying the exact C -property [Bermudez A, Vazquez ME. Upwind methods for hyperbolic conservation laws with source terms. Comput Fluids 1994;23(8):1049–71] while the approximate C -property is satisfied for high…
Can CANISO activate CASINO? Transposed-letter similarity effects with nonadjacent letter positions
2004
Nonwords created by transposing two adjacent letters (i.e., transposed-letter (TL) nonwords like jugde) are very effective at activating the lexical representation of their base words. This fact poses problems for most computational models of word recognition (e.g., the interactive-activation model and its extensions), which assume that exact letter positions are rapidly coded during the word recognition process. To examine the scope of TL similarity effects further, we asked whether TL similarity effects occur for nonwords created by exchanging two nonadjacent letters (e.g., canisoCASINO) in three masked form priming experiments using the lexical decision task. The two nonadjacent transpos…
Constrained control of a nonlinear two point boundary value problem, I
1994
In this paper we consider an optimal control problem for a nonlinear second order ordinary differential equation with integral constraints. A necessary optimality condition in form of the Pontryagin minimum principle is derived. The proof is based on McShane-variations of the optimal control, a thorough study of their behaviour in dependence of some denning parameters, a generalized Green formula for second order ordinary differential equations with measurable coefficients and certain tools of convex analysis.
Triple excitation effects in coupled cluster calculations of Verdet constants
2000
Abstract The CC3 approach has been employed to calculate the Verdet constants of N 2 ,C 2 H 2 , and CH 4 . For N 2 and C 2 H 2 , relatively large triples contributions are found which need to be included in order to reach close agreement with the experimental constants.
Kaon Photo- and Electroproduction on Nucleons
1995
We extend previous models of kaon photo- and electroproduction in order to include all six isospin channels. It is found that the inclusion of the few available data for the reactions γp → K 0 Σ − in the fit leads to drastically reduced Born coupling constants g Λ and g Σ . The result suggests the need to include hadronic form factors in a gauge invariant fashion. It is also shown that the K 0 form factor can be seen in K 0 Λ electroproduction.
Characteristic Sturmian words are extremal for the Critical Factorization Theorem
2012
We prove that characteristic Sturmian words are extremal for the Critical Factorization Theorem (CFT) in the following sense. If p x ( n ) denotes the local period of an infinite word x at point n , we prove that x is a characteristic Sturmian word if and only if p x ( n ) is smaller than or equal to n + 1 for all n ≥ 1 and it is equal to n + 1 for infinitely many integers n . This result is extremal with respect to the \{CFT\} since a consequence of the \{CFT\} is that, for any infinite recurrent word x, either the function p x is bounded, and in such a case x is periodic, or p x ( n ) ≥ n + 1 for infinitely many integers n . As a byproduct of the techniques used in the paper we extend a r…
On the role of consonants and vowels in visual-word processing: Evidence with a letter search paradigm
2010
Prior research has shown that the search function in the visual letter search task may reflect the regularities of the orthographic structure of a given script. In the present experiment, we examined whether the search function of letter detection was sensitive to consonant-vowel status of a pre-cued letter. Participants had to detect the presence/absence of a previously cued letter target (either vowel or consonant) at the initial, central or final position in a five-letter Spanish word or pseudoword. Results showed a significant effect of consonant-vowel status on letter search function which paralleled the orthographic constraints of Spanish. When searching for a consonant, participants …
Heat Kernel Measure on Central Extension of Current Groups in any Dimension
2006
We define measures on central extension of current groups in any dimension by using infinite dimensional Brownian motion.