Hartley Sets and Injectors of a Finite Group

Vorob`ev, N. T. Hartley sets and injectors of a finite group / N. T. Vorob`ev, T. B. Karaulova // Mathematical Notes. – 2019. – Vol. 105, № 1-2. – Р. 204–215.By a Fitting set of a group G one means a nonempty set of subgroups F of a finite group G which is closed under taking normal subgroups, their products, and conjugations of subgroups. In the present paper, the existence and conjugacy of F-injectors of a partially π-solvable group G is proved and the structure of F-injectors is described for the case in which F is a Hartley set of G

О ХАРАКТЕРИЗАЦИИ ИНЪЕКТОРОВ КОНЕЧНЫХ ГРУПП

oai:oai.vestifm.elpub.ru:article/65.

Origin of magnetoelectric behavior in BiFeO3_3

The magnetoelectric behavior of BiFeO$_3$ has been explored on the basis of accurate density functional calculations. The structural, electronic, magnetic, and ferroelectric properties of BiFeO$_3$ are predicted correctly without including strong correlation effect in the calculation. Moreover, the experimentally-observed elongation of cubic perovskite-like lattice along the [111] direction is correctly reproduced. At high pressure we predicted a pressure-induced structural transition and the total energy calculations at expanded lattice show two lower energy ferroelectric phases, closer in energy to the ground state phase. Band-structure calculations show that BiFeO$_3$ will be an insulator in A- and G-type antiferromagnetic phases and a metal in other magnetic configurations. Chemical bonding in BiFeO$_3$ has been analyzed using various tools and electron localization function analysis shows that stereochemically active lone-pair electrons at the Bi sites are responsible for displacements of the Bi atoms from the centro-symmetric to the noncentrosymmetric structure and hence the ferroelectricity. A large ferroelectric polarization (88.7 $\mu$C/cm$^{2}$) is predicted in accordance with recent experimental findings. The net polarization is found to mainly ($>$ 98%) originate from Bi atoms. Moreover the large scatter in experimentally reported polarization values is due to the large anisotropy in the spontaneous polarization.Comment: 19 pages, 12 figures, 4 table

Impurity breakdown and terahertz luminescence in n-GaN epilayers under external electric field

We report on the observation and experimental studies of impurity breakdown and terahertz luminescence in n-GaN epilayers under external electric field. The terahertz electroluminescence is observed in a wide range of doping levels (at noncompensated donor density from 4.5×10[sup 16] to 3.4×10[sup 18] cm[sup −3]). Spectra of terahertz luminescence and photoconductivity are studied by means of Fourier transform spectrometry. Distinctive features of the spectra can be assigned to intracenter electron transitions between excited and ground states of silicon and oxygen donors and to hot electron transitions to the donor states.Peer reviewe

Неоадъювантная химиогормонотерапия и радикальная простатэктомия у больного лимфогенно- диссеминированным раком предстательной железы

Prostate cancer (PC) is now one of the most common malignancies among men. Radical prostatectomy is the most commonly used therapy option for patients with localized PC. The appropriateness of surgical treatment for locally advanced and lymphogenic metastatic PC remains controversial, as the probability of non-radical intervention increases significantly and the risk for disease progression becomes higher. At the same time, interest in surgical treatment in patients with PC at high risk of progression, including those with lymphogenic metastases has recently increased greatly. There are more and more studies demonstrating improved survival rates in patients with high-risk PC, including those with distant metastases, who have undergone radical prostatectomy and lymphadenectomy compared with a cohort of patients who have received only drug therapy In addition to the studies evaluating the efficiency of neoadjuvant therapy before surgery in patients with localized or locally advanced high-risk PC, there are also investigations considering this option in PC patients with lymphogenic metastases. The paper gives the results of a clinical observation that shows the high efficiency of a multimodal approach with neoadjuvant chemohormonal therapy, followed by surgical treatment in a patient with lymphogenic metastatic PC.Рак предстательной железы (РПЖ) в настоящее время является одним из наиболее часто встречающихся злокачественных новообразований у мужчин. Радикальная простатэктомия – наиболее часто применяемый метод терапии у больных локализованным РПЖ. Целесообразность хирургического лечения местно-распространенных и лимфогенно-диссеминированных форм РПЖ остается спорной, так как существенно повышается вероятность нерадикального вмешательства и возрастает риск прогрессирования заболевания. В то же время интерес к проведению хирургического лечения у больных РПЖ с высоким риском прогрессирования, в том числе с наличием лимфогенных метастазов, в последнее время существенно возрос. Появляется все больше исследований, демонстрирующих улучшение показателей выживаемости больных РПЖ высокого риска, в том числе с наличием отдаленных метастазов, которым выполняли радикальную простатэктомию и лимфаденэктомию, по сравнению с когортой больных, получавших только лекарственную терапию. Кроме работ по оценке эффективности неоадъювантной терапии до хирургического лечения у пациентов с локализованным или местно-распространенным РПЖ высокого риска существуют также исследования, рассматривающие данную опцию у больных РПЖ с наличием лимфогенных метастазов. В статье представлены результаты клинического наблюдения, демонстрирующего высокую эффективность мультимодального подхода с применением неоадъювантной химиогормонотерапии с последующим проведением хирургического лечения у больного метастатическим лимфогенно-диссеминированным РПЖ

On injectors of Finite Soluble Groups

Guo, W. On injectors of Finite Soluble Groups / Wenbin Guo, N. T. Vorob’ev // Communications in Algebra. – 2008. – Vol. 36, № 9. – P. 3200–3208.In this article, we give the description of the f)-injectors of a finite soluble group, for a Hartley class f).The authors are grateful for the helpful suggestions of the referee. Research of the first author is supported by a NNSF grant of China(#10771180)