Some subgroups of the Baby Monster.
R.A. Wilson (1987)
Inventiones mathematicae
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R.A. Wilson (1987)
Inventiones mathematicae
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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.
Noskov, Guennadi A., Vinberg, Èrnest B. (2002)
Journal of Lie Theory
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M.V. Nori (1987)
Inventiones mathematicae
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Yong Xu, Hailong Hou, Xinjian Zhang (2015)
Open Mathematics
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Using the concept of ɵ-pairs of proper subgroups of a finite group, we obtain some critical conditions of the supersolvability and nilpotency of finite groups.
Kurdachenko, L. A., Subbotin, I. Ya. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 20F16, 20E15. Groups in which every contranormal subgroup is normally complemented has been considered. The description of such groups G with the condition Max-n and such groups having an abelian nilpotent residual satisfying Min-G have been obtained.
Miao, Long, Qian, Guohua (2009)
Sibirskij Matematicheskij Zhurnal
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Megibben, Charles, Ullery, William (2001)
Commentationes Mathematicae Universitatis Carolinae
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Erfanian, Ahmad, Russo, Francesco (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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D. Segal, F.J. Grunewald, G.C. Smith (1988)
Inventiones mathematicae
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Chigira, Naoki, Iiyori, Nobuo, Yamaki, Hiroyoshi (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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F.G. Timmesfeld (1990)
Inventiones mathematicae
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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.