Elementary amenable subgroups of R. Thompson's group F

The subgroup structure of Thompson's group F is not yet fully understood. The group F is a subgroup of the group PL(I) of orientation preserving, piecewise linear self homeomorphisms of the unit interval and this larger group thus also has a poorly understood subgroup structure. It is reasonable to guess that F is the "only" subgroup of PL(I) that is not elementary amenable. In this paper, we explore the complexity of the elementary amenable subgroups of F in an attempt to understand the boundary between the elementary amenable subgroups and the non-elementary amenable. We construct an example of an elementary amenable subgroup up to class (height) omega squared, where omega is the first infinite ordinal.Comment: 20 page

Operator interpretation of resonances generated by some operator matrices

We consider the analytic continuation of the transfer function for a 2x2 matrix Hamiltonian into the unphysical sheets of the energy Riemann surface. We construct a family of non-selfadjoint operators which reproduce certain parts of the transfer-function spectrum including resonances situated on the unphysical sheets neighboring the physical sheet. On this basis, completeness and basis properties for the root vectors of the transfer function (including those for the resonances) are proved.Comment: LaTeX, 15 pages, no figures; Contribution to Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, August 18-22, 199

C*-simplicity and the unique trace property for discrete groups

In this paper, we introduce new methods for working with group and crossed product C*-algebras that allow us to settle the longstanding open problem of characterizing groups with the unique trace property

Генетическая характеристика больных муковисцидозом в Российской Федерации по данным Национального регистра (2014)

The aim of this study was to investigate genetic features of patients with cystic fibrosis (CF) according to the National Register findings in Russia. Methods. The study involved 2,131 CF patients living in 74 regions of Russia who were included in the National Register of CF patients in 2014. Results. Genetic testing was performed in 89% of patients. The total mutant allele frequency was 81.2%. One hundred and twenty two mutations were found which comprised 173 genotypes; «mild» mutations took 23%. The most common mutant allele frequencies in the descending order were as follows: F508del, 51.53%; СFTRdele2,3, 5.93%; E92K, 2.62%; 3849+10kbC>T, 2.14%; 2184insA, 1.80%; W1282X, 1.80%; 2143delT, 1.69 %; N1303K, 1.43%; G542X, 1.16%; 1677delTA, 0.98%; L138ins, 0.95%; R334W, 0.85%; 394delTT, 0.85%; 3821delT, 0.42%; 2789+5G>A, 0.37%; S466X, 0.37%; S1196X, 0.37%; 3272-16T>A, 0.34%; W1282R, 0.29%; 3944delGT, 0.21%. Typical features of CFTR mutation distribution in Russian CF patients were lower frequency of mutations which are predominant worldwide, such as F508del, G542X, N1303K, and scarce G551D, 1717-1G>A, 2183AA>G mutations. On contrary, СFTRdele2,3, E92K, 2184insA, 2143delT, 1677delTA, L138ins mutations which are quite rare in Western Europe were encountered more often in Russia. «Mild» mutations were more common in Russian population of CF patients compared to European countries and have being increasing last years. Conclusion. Genetic features of Russian CF patients could be provided by Slavic, Turkic and Finno-Ugric genetic influence on Russian population.Генетическому разнообразию больных муковисцидозом (МВ) в России посвящены единичные работы на ограниченной выборке больных. Цель. Выявление особенностей генетического профиля больных МВ в России по данным Национального регистра (2014). Материалы и методы. Данные пациентов с МВ (n = 2 131) из 74 регионов России, включенные в Национальный регистр больных МВ (2014). Результаты. Генетическое обследование проведено у 89,0 % больных, суммарная аллельная частота выявленных мутаций составила 81,2 %. Выявлено 122 мутации, которые сформировали 173 различных генотипа, среди которых доля «мягких» генотипов составила 23,0 %. Аллельная частота самых распространенных мутаций представлена в порядке убывания: F508del – 51,53 %, СFTRdele2,3 – 5,93 %, E92K – 2,62 %, 3849+10kbC>T – 2,14 %, 2184insA – 1,80 %, W1282X – 1,80 %, 2143delT – 1,69 %, N1303K – 1,43 %, G542X – 1,16 %, 1677delTA – 0,98 %, L138ins – 0,95 %, R334W – 0,85 %, 394delTT – 0,85 %, 3821delT – 0,42 %, 2789+5G>A – 0,37 %, S466X – 0,37 %, S1196X – 0,37 %, 3272-16T>A – 0,34 %, W1282R – 0,29 %, 3944delGT – 0,21 %. Выявлено, что особенностями распределения мутаций. CFTRсреди российских больных МВ являются меньшая частота доминирующих в мире мутаций, таких как F508del, G542X, N1303K, единичная встречаемость мутаций G551D, 1717-1G>A, 2183AA>G и наоборот – более высокая частота мутаций, являющихся относительно редкими в западноевропейских странах: СFTRdele2,3, E92K, 2184insA, 2143delT, 1677delTA, L138ins. Другой особенностью является более высокая встречаемость «мягких» мутаций в России по сравнению со странами Европы. Выявлено, что доля «мягких» мутаций в популяции больных МВ на протяжении последних лет увеличивается. Заключение. При формировании населения России особенности генетического профиля российских больных МВ определяются славянскими, тюркскими и финно-угорскими влияниями

ANDROLOGY EXAMINATION OF PATIENTS WITH PANCREATIC-SUFFICIENT AND PANCREATIC-INSUFFICIENT CYSTIC FIBROSIS

Introduction. Cystic fibrosis (CF) is common monogenic disease resulted from CFTR gene mutations. A most of CF male patients are infertile due to the obstructive azoospermia, however, the mechanisms of the reduced fertility in male patients without the obstruction of seminal ducts, also as the influence of CFTR genotype on their development is understudied.Objective is to assess an influence the effect of CFTR genotype, clinical form of CF and age on men reproductive system organs, fertility, and testosterone level and semen parameters in male patients with CF. Materials and methods. We examined 71 Russian men (17–39 years old, mean 24.9 ± 5.3) with CF (pancreatic-sufficient, n = 34, and pancreatic-insufficient, n = 37). Clinical, andrology, laboratory and instrumental examination, including scrotal ultrasonography, biochemical semen, and hormonal analyses were performed.Results. Testicular hypoplasia was reveled in 40,5 % CF patients. Diffuse alterations of epididymis, of epididymal and/or testicular cysts were detected in 62 % patients; 10 % of the patients presented symptoms of hypogonadism. As many as 88 % patients showed spermiological signs of bilateral obstruction of seminal ducts at the level of the vas deferens and epididymis, aplasia of the seminal vesicles (azoospermia, oligospermia, low pH and fructose level of the ejaculate). Pancreatic-insufficient CF is an unfavorable prognostic sign for the obstruction of vas deferens, morphological changes in the scrotum. Patients until 25 years (23 %) as 3849+10kb C>T mutation’s carriers (72 %) significantly more frequently presented preserved vas deferens.Conclusion. Pancreatic-sufficient CF, young age and 3849+10kbС>T mutation are favorable factors presented preserved vas deferens and the possible fertility in men with CF