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Kniahina, Viktoryia, Monakhov, Victor. (1392). On supersolvability of finite groups with ℙ-subnormal subgroups. , 2(4), 21-29. doi: 10.22108/ijgt.2013.2835
Viktoryia Kniahina; Victor Monakhov. "On supersolvability of finite groups with ℙ-subnormal subgroups". , 2, 4, 1392, 21-29. doi: 10.22108/ijgt.2013.2835
Kniahina, Viktoryia, Monakhov, Victor. (1392). 'On supersolvability of finite groups with ℙ-subnormal subgroups', , 2(4), pp. 21-29. doi: 10.22108/ijgt.2013.2835
Kniahina, Viktoryia, Monakhov, Victor. On supersolvability of finite groups with ℙ-subnormal subgroups. , 1392; 2(4): 21-29. doi: 10.22108/ijgt.2013.2835

On supersolvability of finite groups with ℙ-subnormal subgroups

International Journal of Group Theory
مقاله 4، دوره 2، شماره 4، اسفند 2013، صفحه 21-29    اصل مقاله (420.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2013.2835
نویسندگان
Viktoryia Kniahina* 1؛ Victor Monakhov2
1Gomel engineering institute of MES of Republic of Belarus
2Department of Mathematics, Gomel F. Scorina State University
چکیده
In this paper we find systems of subgroups of a finite‎ ‎group‎, ‎which $\Bbb P$-subnormality guarantees supersolvability‎ ‎of the whole group‎.
کلیدواژه‌ها
Finite group؛ supersolvable group؛ $\Bbb P$-subnormal subgroup
مراجع
GAP (2009) Groups, Algorithms and Programming Version 4.4.12. \href{http://www.gap-system.org}{www.gap-system.org}
W. Gaschutz (1979) Lectures on subgroups of Sylow type in finite soluble groups Notes of Pure Mathematics, Australian National University, Canberra 11
B. Huppert (1967) Endliche Gruppen I Berlin, Heidelberg, New York
V. N. Kniahina and V. S. Monakhov (18 May 2011) Finite groups with $\mathbb P$-subnormal 2-maximal subgroups arxiv.org e-Print, \href{http://arxiv.org/pdf/1105.3663.pdf}{arxiv.org/pdf/1105.3663.pdf} archive
V. N. Kniahina and V. S. Monakhov (18 Nov 2011) Finite groups with $\mathbb P$-subnormal primary cyclic subgroups arxiv.org e-Print archive, \href{http://arxiv.org/pdf/1110.4720}{arxiv.org/pdf/1110.4720}
V. S. Monakhov (1995) Finite groups with a given set of Schmidt subgroups Math. Notes 58 (5), 1183-1186
V. T. Nagrebecki (1975) Finite minimal non-supersolvable groups In Finite groups (Proc. Gomel Sem.)(Russian), Nauka i Tehnika, Minsk , 104-108
A. F. Vasilyev, T. I. Vasilyeva and V. N. Tyutyanov (2010) On the finite groups of supersoluble type Sib. Math. J. 51 (6), 1004-1012
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