Unions of subquasigroups
Tomáš Kepka, Pavel Příhoda, Jan Šťovíček (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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Tomáš Kepka, Pavel Příhoda, Jan Šťovíček (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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Changwen Li, Xuemei Zhang, Xiaolan Yi (2013)
Colloquium Mathematicae
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The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini G-chief factor of a normal subgroup E of a finite group G is cyclic. As applications, some recent known results are generalized and unified.
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.
Kuzennyi, N.F., Subbotin, I.Ya. (2005)
International Journal of Mathematics and Mathematical Sciences
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Al-Sharo, K. (2008)
Beiträge zur Algebra und Geometrie
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W. Plesken, C.R. Leedham-Green (1986)
Mathematische Zeitschrift
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B. Gordon, R.M. Guralnick, M. Miller (1978)
Aequationes mathematicae
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Wenbin Guo, Alexander N. Skiba, Nanying Yang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Mysovskikh, V.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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G.A. Miller (1907)
Mathematische Annalen
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S.J. Pride, Pat Hill, A.D. Vella (1984)
Journal für die reine und angewandte Mathematik
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Miao, Long, Qian, Guohua (2009)
Sibirskij Matematicheskij Zhurnal
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Michel Broué, Gunter Malle (1992)
Mathematische Annalen
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Abdollahi, A., Ashraf, F., Shaker, S.M. (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Huaguo Shi, Zhangjia Han (2012)
Colloquium Mathematicae
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We describe finite groups which contain just one conjugate class of self-normalizing subgroups.