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Supersoluble conditions and transfer control | ||
| International Journal of Group Theory | ||
| مقاله 13، دوره 2، شماره 1، خرداد 2013، صفحه 157-166 اصل مقاله (435.15 K) | ||
| نوع مقاله: Ischia Group Theory 2012 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2013.2740 | ||
| نویسندگان | ||
| Anna Luisa Gilotti1؛ Luigi Serena* 2 | ||
| 1Universita Bologna | ||
| 2Dipartimento di Matematica U. Dini Viale Morgagni 67/A 50134 FIRENZE | ||
| چکیده | ||
| In this paper we give a new condition for a Sylow $p$-subgroup of a finite group to control transfer. Then it is deduced a characteri-zation of supersoluble groups that can be seen as a generalization of the well known result concerning the supersolubility of finite groups with cyclic Sylow subgroups. Moreover a condition for a normal embedding of a strongly closed $p$-subgroup is given. These results make use of the properties of $G$-chains and $\Phi$-chains. | ||
| کلیدواژهها | ||
| transfer control؛ normal p-complement؛ supersoluble groups؛ strongly closed subgroup | ||
| مراجع | ||
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M. Aschbacher (2011) The generalized Fitting subsystem of a fusion system Mem. Amer. Math. Soc. 209 (986), 0-110
H. G. Bray, W. E. Deskins, D. Johnson, J. F. Humphreys, B. M. Puttaswamaiah, P. Venzke
and G. L. Walls (1982) Between Nilpotent and Solvable Edited and with a preface by Michael Weinstein, Polygonal Publ. House, Washington, N. J.
P. Cs\"{o}rg\"{o} and M. Herzog (2004) On supersolvable groups and
the nilpotator Comm. Algebra 32 (2), 609-620
K. Doerk and T. Hawkes (1992) Finite Soluble Groups de Gruyter Expositions in Mathematics, {\bf 4}, Walter de Gruyter \&
Co., Berlin
L. Dornhoff (1971) Group Representation Theory, Part A: Ordinary Representation Theory Pure and Applied
Mathematics, Marcel Dekker Inc., New York 7
R. J. Flores and R. M. Foote (2009) Strongly closed subgroups of finite groups Adv. Math. 222 (2), 453-484
A. L. Gilotti and L. Serena (1980) On the existence of normal Sylow $p$-complement Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 69 (5), 228-231
A. L. Gilotti and L. Serena (1984) Sottogruppi massimali dei sottogruppi di Sylow e complementi
normali Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 76 (3), 161-166
A. L. Gilotti and L. Serena (1985) Strongly closed subgroups and strong fusion J. London Math. Soc. (2) 32 (1), 103-106
A. L. Gilotti and L. Serena (2011) Remarks on chains of weakly closed subgroups J. Group Theory 14 (6), 807-818
D. M. Goldschmidt (1975) Strongly closed $2$-subgroups of finite groups Ann. of Math. (2) 102 (3), 475-489
D. Gorenstein (1968) Finite groups Harper \& Row Publishers, New York
B. Huppert (1967) Endliche Gruppen I Grundlehren der
Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer-Verlag, Berlin 134
B. Huppert and N. Blackburn (1982) Finite Groups III Grundlehren der
Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer-Verlag, Berlin 243
S. R. Li (1994) On minimal subgroups of finite groups Comm. Algebra 22 (6), 1913-1918
M. Suzuki (1986) Groups Theory II Grundlehren der Mathematischen Wissenschaften
[Fundamental Principles of Mathematical Sciences], Springer-Verlag, New York 248
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