On locally finite \(\pi\)-separable groups

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Home Editorial board Publication ethics Peer review guidelines Latest issue All issues Rules for authors Online submission system's guidelines Submit manuscript Contacts Address: Vatutina st. 53, Vladikavkaz, 362025, RNO-A, Russia Phone: (8672)23-00-54 E-mail: rio@smath.ru	DOI: 10.23671/VNC.2015.2.7273 On locally finite \(\pi\)-separable groups Zhurtov A. H. , Seljaeva Z. B. Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 2. Abstract: It is shown that the \(\pi\)-length of a locally finite \(\pi\)-separable group \(G\) is bounded by a natural \(m\) if the \(\pi\)-length of every finite subgroup of \(G\) is bounded by \(m\). Keywords: locally finite group, \(\pi\)-separable group, \(\pi\)-length of the group Language: Russian Download the full text For citation: Zhurtov A. H., Seljaeva Z. B. On locally finite \(\pi\)-separable groups. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 17, no. 2, pp.16-21. DOI 10.23671/VNC.2015.2.7273 + References 1. Chunihin S. A. Podgruppy Konechnyh Grupp, Minsk, Nauka i Tehnika, 1964 (Russian). 2. Chunihin S. A., Shemetkov L. A. Finite groups. J. of Soviet Mathematics, 1973, vol. 1, no. 3, pp. 291-332. 3. Chunihin S. A. O silovskih svojstvah konechnyh grupp. Dokl. AN SSSR [Soviet Math. Dokl.], 1950, vol. 73, pp. 29-32 (Russian). 4. Feit W., Thompson J. G. Solvability of groups of odd order. Pacific. J. Math., 1963, vol. 13, no. 3, pp. 775-1029. 5. Hall P. Theorems like Sylow's. Proc. London Math. Soc., 1956, vol. 6, no. 3, pp. 286-304. 6. Khukhro E. I. Problems of bounding the p-length and Fitting height of finite soluble groups. J. Sib. Federal Univ. Mathematics & Physics, 2013, vol. 6, no. 4, pp. 462-470. 7. Vdovin E. P., Revin D. O. Sylow-type theorems. Russian Math. Surveys, 2011, vol. 66, no. 5, pp. 829-870. 8. Huppert B. Endliche Gruppen I, Berlin-Heidelberg-N.Y., Springer-Verlag, 1979. 9. Gorenstein D. Finite groups, N.Y., Chelsea, 1980. The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses. ← Contents of issue


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