89,273 research outputs found

    On the local-indicability cohen–lyndon theorem

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    For a group H and a subset X of H, we let HX denote the set {hxh?1 | h ? H, x ? X}, and when X is a free-generating set of H, we say that the set HX is a Whitehead subset of H. For a group F and an element r of F, we say that r is Cohen–Lyndon aspherical in F if F{r} is a Whitehead subset of the subgroup of F that is generated by F{r}. In 1963, Cohen and Lyndon (D. E. Cohen and R. C. Lyndon, Free bases for normal subgroups of free groups, Trans. Amer. Math. Soc. 108 (1963), 526–537) independently showed that in each free group each non-trivial element is Cohen–Lyndon aspherical. Their proof used the celebrated induction method devised by Magnus in 1930 to study one-relator groups. In 1987, Edjvet and Howie (M. Edjvet and J. Howie, A Cohen–Lyndon theorem for free products of locally indicable groups, J. Pure Appl. Algebra 45 (1987), 41–44) showed that if A and B are locally indicable groups, then each cyclically reduced element of A*B that does not lie in A ? B is Cohen–Lyndon aspherical in A*B. Their proof used the original Cohen–Lyndon theorem. Using Bass–Serre theory, the original Cohen–Lyndon theorem and the Edjvet–Howie theorem, one can deduce the local-indicability Cohen–Lyndon theorem: if F is a locally indicable group and T is an F-tree with trivial edge stabilisers, then each element of F that fixes no vertex of T is Cohen–Lyndon aspherical in F. Conversely, by Bass–Serre theory, the original Cohen–Lyndon theorem and the Edjvet–Howie theorem are immediate consequences of the local-indicability Cohen–Lyndon theorem. In this paper we give a detailed review of a Bass–Serre theoretical form of Howie induction and arrange the arguments of Edjvet and Howie into a Howie-inductive proof of the local-indicability Cohen–Lyndon theorem that uses neither Magnus induction nor the original Cohen–Lyndon theorem. We conclude with a review of some standard applications of Cohen–Lyndon asphericit

    Music and Global Health (Theresa A. Allison, Daniel B. Reed & Judah M. Cohen, Eds.)

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    This is a review of the book "Music and Global Health" edited by Theresa A. Allison, Daniel B. Reed, and Judah M. Cohen. Title: Music and Global Health | Editors: Theresa A. Allison, Daniel B. Reed, & Judah M. Cohen | Publication year: 2017 (volume 54, issue 1-2) | Publisher: Journal of Folklore Research | Pages: 159 | ISSN: 0737-703

    Upper Cohen-Macaulay Dimension

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    In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension. This invariant is quite similar to Cohen-Macaulay dimension that has been introduced by Gerko. Also we define a homological invariant with respect to a local homomorphism of local rings. This invariant links upper Cohen-Macaulay dimension with Gorenstein dimension.</p

    Arthur M. Cohen et Florence B. Brawer. — The American College

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    Ladret Brigitte. Arthur M. Cohen et Florence B. Brawer. — The American College. In: Revue Française d'Etudes Américaines, N°16, février 1983. Les intellectuels aux Etats-Unis. p. 163

    Fibre Leather Manufacturing Corp., (Bldg.) Morris L. Cohen, Marcus L. Cohen and Leon M. Cohen d/b/a New Bedford Manufacturing Company, Ten. (1946)

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    Plan of a Fibre Leather Manufacturing Corp., (Bldg.) Morris L. Cohen, Marcus L. Cohen and Leon M. Cohen d/b/a New Bedford Manufacturing Company, Ten. site in New Bedford, Massachusetts from June 05, 1946.https://digitalcommons.usm.maine.edu/oml-athm-collection/1185/thumbnail.jp

    M. Cary. A history of the Greek world, from 323 to 146 B. C.

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    Cohen Robert. M. Cary. A history of the Greek world, from 323 to 146 B. C.. In: Revue des Études Grecques, tome 46, fascicule 217, Juillet-septembre 1933. pp. 350-351

    Burgess (Stanley M.) McGee (Gary B.) Alexander (Patrick H.) eds Dictionary of Pentecostal and Charismatic Movements

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    Cohen Martine. Burgess (Stanley M.) McGee (Gary B.) Alexander (Patrick H.) eds Dictionary of Pentecostal and Charismatic Movements. In: Archives de sciences sociales des religions, n°72, 1990. p. 237

    Measurement of the ratio of branching fractions B(B0→K∗0γ )/B(B0s→φγ ) and the directCP asymmetry inB 0→K∗0γ

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    The ratio of branching fractions of the radiative B decays B0→K⁎0γ and B0s→ϕγ has been measured using an integrated luminosity of 1.0 fb−1 of pp collision data collected by the LHCb experiment at a centre-of-mass energy of s√=7TeV. The value obtained is B(B0→K⁎0γ)B(B0s→ϕγ)=1.23±0.06(stat.)±0.04(syst.)±0.10(fs/fd), where the first uncertainty is statistical, the second is the experimental systematic uncertainty and the third is associated with the ratio of fragmentation fractions fs/fd. Using the world average value for B(B0→K⁎0γ), the branching fraction B(B0s→ϕγ) is measured to be (3.5±0.4)×10−5. The direct CP asymmetry in B0→K⁎0γ decays has also been measured with the same data and found to be ACP(B0→K⁎0γ)=(0.8±1.7(stat.)±0.9(syst.))%. Both measurements are the most precise to date and are in agreement with the previous experimental results and theoretical expectations

    Analysis of Air Conditioning Effectiveness vs. Outdoor Conditions: Traditional Bins or Joint Frequency Bins?

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    There are a number of methods used to estimate the effectiveness of air conditioning equipment in handling loads. Full hourly computer simulations are probably the most accurate, but lack flexibility and are more cumbersome to use than more compact approaches. Alternately, some form of binned weather data has been used with load and performance estimation carried out for each of the bin weather conditions. The most common binning method puts weather into bins of dry bulb temperature with mean coincident wet bulb temperatures. Mean coincident humidity terms lose the extreme humidity levels that commonly exist. This can lead one to assume that conditions will be held at all times, while in fact the humidity loads will not be met and discomfort, among other consequences, will result. Three-dimensional plots of the joint frequency results clearly illustrate problem areas. A better procedure, it will be shown, is to use a joint frequency bin data set, which puts hours of occurrence into a matrix with dry bulb ranges on one axis and humidity ratio ranges on the second axis. This form of binning is easily accomplished if a utility like BinMaker is used to generate the binned data set

    Marriage record of Cohen, M. Henry and Wolff, Julia

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    Marriage license for M. Henry Cohen and Julia Wolff. B. Rabbi Rabhino was the officiant
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