162,209 research outputs found
[Report to Chief J. E. Curry, by an unknown author #1]
Report to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney
[Report to Chief J. E. Curry, by an unknown author #2]
Report to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney
The ∑2-conjecture For Metabelian Groups: The General Case
The Bieri-Neumann-Strebel invariant ∑m (G) of a group G is a certain subset of a sphere that contains information about finiteness properties of subgroups of G. In case of a metabelian group G the set ∑1 (G) completely characterizes finite presentability and it is conjectured that it also contains complete information about the higher finiteness properties (FPm-conjecture). The ∑m-conjecture states how the higher invariants are obtained from ∑1 (G). In this paper we prove the ∑2-conjecture. © 2004 Elsevier Inc. All rights reserved.2732435454Åberg, H., Bieri-Strebel valuations (of finite rank) (1986) Proc. London Math. Soc., 52 (3), pp. 269-304Bestvina, M., Brady, N., Morse theory and finiteness properties of groups (1997) Invent. Math., 129 (3), pp. 445-470Bieri, R., Groves, J.R.J., Metabelian groups of type FP∞ are virtually of type FP (1982) Proc. London Math. Soc., 45 (3), pp. 365-384Bieri, R., Groves, J.R.J., The geometry of the set of characters induced by valuations (1984) J. Reine Angew. Math., 347, pp. 168-195Bieri, R., Harlander, J., On the FP3-conjecture for metabelian groups (2001) J. London Math. Soc., 64 (2), pp. 595-610Bieri, R., Harlander, J., A remark on the polyhedrality theorem for the ∑-invariants of modules over abelian groups (2001) Math. Proc. Cambridge Philos. Soc., 131, pp. 39-43Bieri, R., Neumann, W.D., Strebel, R., A geometric invariant of discrete groups (1987) Invent. Math., 90, pp. 451-477Bieri, R., Renz, B., Valuations on free resolutions and higher geometric invariants of groups (1988) Comment. Math. Helv., 63, pp. 464-497Bieri, R., Strebel, R., Valuations and finitely presented metabelian groups (1980) Proc. London Math. Soc., 41 (3), pp. 439-464Brown, K.S., Cohomology of Groups (1982) Grad. Texts in Math., 87. , Springer-Verlag, New YorkBux, K.U., Finiteness properties of certain metabelian arithmetic groups in the function field case (1997) Proc. London Math. Soc., 75 (2), pp. 308-322Groves, J.R.J., Some finitely presented nilpotent-by-abelian groups (1991) J. Algebra, 144, pp. 127-166Gehrke, R., The higher geometric invariants for groups with sufficient commutativity (1998) Comm. Algebra, 26 (4), pp. 1097-1115Kochloukova, D.H., The ∑m-conjecture for a class of metabelian groups (1999) London Math. Soc. Lecture Note Ser., 261, pp. 492-503. , Groups St Andrews '97 in Bath, Cambridge Univ. Press, CambridgeKochloukova, D.H., The ∑2-conjecture for metabelian groups and some new conjectures: The split extension case (1999) J. Algebra, 222, pp. 357-375Kochloukova, D.H., The FPm-conjecture for a class of metabelian groups (1996) J. Algebra, 184, pp. 1175-1204Kochloukova, D.H., More about the geometric invariants ∑m (G) and ∑m (G, ℤ) for groups with normal locally polycyclic-by-finite subgroups (2001) Math. Proc. Cambridge Philos. Soc., 130 (2), pp. 295-306Kochloukova, D.H., Subgroups of constructible nilpotent-by-abelian groups and a generalization of a result of Bieri-Newmann-Strebel (2002) J. Group Theory, 5, pp. 219-231Meinert, H., Actions on 2-complexes and the homotopical invariant ∑2 of a group (1997) J. Pure Appl. Algebra, 119 (3), pp. 297-317Meinert, H., The homological invariants for metabelian groups of finite Prüfer rank: A proof of the ∑m-conjecture (1996) Proc. London Math. Soc., 72 (2), pp. 385-424Meier, J., Meinert, H., VanWyk, L., Higher generation subgroup sets and the ∑-invariants of graph groups (1998) Comment. Math. Helv., 73 (1), pp. 22-44Noskov, G.A., The Bieri-Strebel invariant and homological finiteness conditions for metabelian groups (1997) Algebra I Logika, 36 (2), pp. 194-218Renz, B., Geometrische Invarianten und Endlichkeitseigenschaften von Gruppen, Dissertation (1988), Universität Frankfurt a.
The ∑3-conjecture For Metabelian Groups
The ∑3-conjecture for metabelian groups is proved in the split extension case.673609625Åberg, H., Bieri-Strebel valuations (of finite rank) (1986) Proc. London Math. Soc. (3), 52, pp. 269-304Bieri, R., Homological dimension of discrete groups, 2nd edn (1981) Queen Mary College Mathematics Notes, , Queen Mary College, LondonBieri, R., Geoohegan, R., Kernels of actions on non-positively curved spaces (1998) London Mathematical Society Lecture Note Series, 252, pp. 24-38. , Geometry and cohomology in group theory (Durham, 1994), Cambridge University Press, CambridgeBieri, R., Geoghegan, R., Connectivity Properties of Group Actions on Non-positively Curved Spaces. I: Controlled Connectivity and Openness Results, , preprintBieri, R., Geoghegan, R., Connectivity Properties of Group Actions on Non-positively Curved Spaces. II: The Geometric Invariants, , preprintBieri, R., Groves, J.R.J., Metabelian groups of type FP∞ are virtually of type FP (1982) Proc. London Math. Soc. (3), 45, pp. 365-384Bieri, R., Groves, J.R.J., The geometry of the set of characters induced by valuations (1984) J. Reine Angew. Math., 347, pp. 168-195Bieri, R., Harlander, J., On the FP3-conjecture for metabelian groups (2001) J. London Math. Soc. (2), 64, pp. 595-610Bieri, R., Harlander, J., A remark on the polyhedrality theorem for the ∑-invariants of modules over abelian groups (2001) Math. Proc. Cambridge Philos. Soc., 131, pp. 39-43Bieri, R., Renz, B., Valuations on free resolutions and higher geometric invariants of groups (1988) Comment. Math. Helv., 63, pp. 464-497Bieri, R., Strebel, R., Valuations and finitely presented metabelian groups (1980) Proc. London Math. Soc. (3), 41, pp. 439-464Bieri, R., Neumann, W.D., Strebel, R., A geometric invariant for discrete groups (1987) Invent. Math., 90, pp. 451-477Bux, K.U., Finiteness properties of certain metabelian arithmetic groups in the function field case (1997) Proc. London Math. Soc. (3), 75, pp. 308-322Harlander, J., Kochloukova, D.H., The ∑2-conjecture: The general case J. Algebra, , to appearKochloukova, D.H., The FPm-conjecture for a class of metabelian groups (1996) J. Algebra, 184, pp. 1175-1204Kochloukova, D.H., (1997) The FPm-Conjecture for a Class of Metabelian Groups, , PhD Thesis, University of CambridgeKochloukova, D.H., The ∑2-conjecture for metabelian groups and some new conjectures: The split extension case (1999) J. Algebra, 222, pp. 357-375Kochloukova, D.H., The ∑m-conjecture for a class of metabelian groups (1999) London Mathematical Society Lecture Note Series, 261, pp. 492-503. , Groups, St Andrews, Bath, 1997 (Cambridge University Press)Kochloukova, D.H., More about the geometric invariants ∑m(G) and ∑m(G,ℤ) for groups with normal locally polycyclic-by-finite subgroups (2001) Math. Proc. Cambridge Philos. Soc., 130, pp. 295-306Meinert, H., The homological invariants for metabelian groups of finite Prüfer rank: A proof of the ∑m-conjecture (1996) Proc. London Math. Soc., 72, pp. 385-424Meinert, H., Actions on 2-complexes and the homotopical invariant ∑2 of a group (1997) J. Pure Appl. Algebra, 119, pp. 297-317Noskov, G.A., The Bieri-Strebel invariant and homological finiteness conditions for metabelian groups (1997) Algebra i Logika, 36, pp. 194-21
Philosophical perspectives on ad hoc-hypotheses and the Higgs mechanism
We examine physicists' charge of adhocness against the Higgs mechanism in the Standard Model of elementary particle physics. We argue that even though this charge never rested on a clear-cut and well-entrenched definition of "ad hoc", it is based on conceptual and methodological assumptions and principles which are well-founded elements of the scientific practice of high-energy particle physics. Based on our findings, we dispute the claim made by Christopher Hunt in a recent article in "Philosophy of Science" that the use of "ad hoc" by scientists reflects nothing more substantial than a judgment made on the basis of their "individual aesthetic senses". We further evaluate the implications of the recent discovery of a Higgs-like particle at the CERN Large Hadron Collider for the charge of adhocness against the Higgs mechanism
Murder on the mountain: author talk with Peter J. Wosh
Author talk by Peter J. Wosh on May 5th, 2022, on his book, "Murder on the Mountain: crime, passion, and punishment in gilded age New Jersey.
Mr. Melvin J. Collier, RWWL AUC, June 2011
This video is a conversation with Mr. Melvin J. Collier. Mr. Collier talks about his book, "From Mississippi to Africa: A Journey of Discovery". Daniel Le, AUC Woodruff Library, is the interviewer
A Tripartite Post-Recession Rebalancing
In this latest Advance & Rutgers Report, entitled “A Tripartite Post-Recession Rebalancing,” Dean James W. Hughes and Professor Joseph J. Seneca deliver an incisive assessment of the current market conditions and obstacles in the path of our economic recovery. They offer a statistical cautionary tale that the private and public sector need to hear and acknowledge in order for the economy to make continued progress.This report was published as Issue Paper Number 7, November 2011, in Advance & Rutgers Report
Evidence for the decay B0→J/ψω and measurement of the relative branching fractions of meson decays to J/ψη and J/ψη′
First evidence of the B 0 → J / ψ ω decay is found and the B s 0 → J / ψ η and B s 0 → J / ψ η ′ decays are studied using a dataset corresponding to an integrated luminosity of 1.0 fb -1 collected by the LHCb experiment in proton-proton collisions at a centre-of-mass energy of sqrt(s) = 7 TeV. The branching fractions of these decays are measured relative to that of the B 0 → J / ψ ρ 0 decay:frac(B (B 0 → J / ψ ω), B (B 0 → J / ψ ρ 0)) = 0.89 ± 0.19 (stat) - 0.13 + 0.07 (syst),frac(B (B s 0 → J / ψ η), B (B 0 → J / ψ ρ 0)) = 14.0 ± 1.2 (stat) - 1.5 + 1.1 (syst) - 1.0 + 1.1 (frac(f d, f s)),frac(B (B s 0 → J / ψ η ′), B (B 0 → J / ψ ρ 0)) = 12.7 ± 1.1 (stat) - 1.3 + 0.5 (syst) - 0.9 + 1.0 (frac(f d, f s)), where the last uncertainty is due to the knowledge of f d / f s, the ratio of b-quark hadronization factors that accounts for the different production rate of B 0 and B s 0 mesons. The ratio of the branching fractions of B s 0 → J / ψ η ′ and B s 0 → J / ψ η decays is measured to befrac(B (B s 0 → J / ψ η ′), B (B s 0 → J / ψ η)) = 0.90 ± 0.09 (stat) - 0.02 + 0.06 (syst)
The vanishing author in computer-generated works: a critical analysis of recent Australian case law
Abstract
The use of software is ubiquitous in the creation of many copyright works, yet the requirement in copyright law that every work have a human author who engages in independent intellectual effort means that its use may prevent copyright subsistence. Several recent Australian cases have refocused attention on authorship as an essential criterion of copyright subsistence, and these cases suggest that much computer-produced output may be authorless and thus lack copyright protection. This article, the first in a two-part series, analyses how each case deals with the question of authorship of computer-produced works and why the use of software diminishes copyright protection for a significant number of computer-generated works. The article critiques the application of conventional notions of human authorship developed in the pre-computer age to modern productions and suggests alternative approaches to authorship that satisfy both the major objectives of copyright policy and the need to adapt to the computer age. The article argues that, without a broader judicial approach to authorship of computer-generated works, Parliament must remedy the lacuna in protection for these ‘authorless’ works. Possible solutions for reform are suggested. In a forthcoming article, the author comprehensively examines those reform proposals
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