A theorem of Jon F. Carlson on filtrations of modules

Cataloged from PDF version of article.We give an alternative proof to a theorem of Carlson [J.F. Carlson, Cohomology and induction from elementary abelian subgroups, Quart. J. Math. 51 (2000) 169-181] which states that if G is a finite group and k is a field of characteristic p, then any k G-module is a direct summand of a module which has a filtration whose sections are induced from elementary abelian p-subgroups of G. We also prove two new theorems which are closely related to Carlson's theorem. © 2005 Elsevier Ltd. All rights reserve

Essential cohomology for elementary abelian p-groups

For an odd prime p the cohomology ring of an elementary abelian p-group is polynomial tensor exterior. We show that the ideal of essential classes is the Steenrod closure of the class generating the top exterior power. As a module over the polynomial algebra, the essential ideal is free on the set of Mui invariants.Comment: 10 page

A theorem of Jon F. Carlson on filtrations of modules

We give an alternative proof to a theorem of Carlson [J.F. Carlson, Cohomology and induction from elementary abelian subgroups, Quart. J. Math. 51 (2000) 169-181] which states that if G is a finite group and k is a field of characteristic p, then any k G-module is a direct summand of a module which has a filtration whose sections are induced from elementary abelian p-subgroups of G. We also prove two new theorems which are closely related to Carlson's theorem. © 2005 Elsevier Ltd. All rights reserved

Quantum marginal problem and N-representability

A variant of the quantum marginal problem was known from early sixties as N-representability problem. In 1995 it was designated by National Research Council of USA as one of ten most prominent research challenges in quantum chemistry. In spite of this recognition the progress was very slow, until a couple of years ago the problem came into focus again, now in framework of quantum information theory. In the paper I give an account of the recent development.Comment: A talk at 12 Central European workshop on Quantum Optics, July 2005, Bilkent University, Turke

Evaluation of sarcopenia as a prognostic biomarker in locally advanced head and neck squamous cell carcinoma - Supplementary Table 1

Background: We aimed to evaluate the effect of sarcopenia on survival in head and neck squamous cell carcinoma patients treated with chemoradiotherapy. Materials & methods: Disease-free survival and overall survival were compared according to cervical computed tomography for radiotherapy in 123 sarcopenic and non-sarcopenic patients with locally advanced head and neck squamous cell carcinoma treated with chemoradiotherapy with weekly cisplatin. Results: In multivariate analyses, pretreatment sarcopenia was associated with lower disease-free survival (hazard ratio: 2.60; 95% CI: 1.38–4.87; p = 0.003) and overall survival (hazard ratio: 2.86; 95% CI: 1.40–5.85; p = 0.004). Sarcopenic patients experienced more frequent radiotherapy-related toxicities and platinum-related side effects than non-sarcopenic patients. Conclusion: Sarcopenia could be a potential biomarker to predict prognosis and treatment toxicity in head and neck squamous cell carcinoma.</p