Odd order Hall subgroups of the classical linear groups.
Flechter Gross (1995)
Mathematische Zeitschrift
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Flechter Gross (1995)
Mathematische Zeitschrift
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Fausto De Mari, Francesco de Giovanni (2005)
Colloquium Mathematicae
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The structure of (generalized) soluble groups for which the set of all subnormal non-normal subgroups satisfies the maximal condition is described, taking as a model the known theory of groups in which normality is a transitive relation.
Miao, Long, Qian, Guohua (2009)
Sibirskij Matematicheskij Zhurnal
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F.G. Timmesfeld (1990)
Inventiones mathematicae
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David L. Winter, Murphy Paul F. (1972)
Mathematische Zeitschrift
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Everett C. Dade (1973)
Mathematische Zeitschrift
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Noskov, Guennadi A., Vinberg, Èrnest B. (2002)
Journal of Lie Theory
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John S. Wilson (1970)
Mathematische Zeitschrift
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Shlepkin, A.K., Rubashkin, A.G. (2004)
Sibirskij Matematicheskij Zhurnal
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Zhang, Jiping (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 20D60,20E15. As is known, if a finite solvable group G is an n-sum group then n − 1 is a prime power. It is an interesting problem in group theory to study for which numbers n with n-1 > 1 and not a prime power there exists a finite n-sum group. In this paper we mainly study finite nonsolvable n-sum groups and show that 15 is the first such number. More precisely, we prove that there exist no finite 11-sum or 13-sum groups and there...
Abdollahi, A., Ashraf, F., Shaker, S.M. (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Zhang, Yi (2003)
Lobachevskii Journal of Mathematics
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F.G. Timmesfeld (1991)
Inventiones mathematicae
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