Dual-Standard subgroups of finite and locally finite groups.
S.E. Stonehewer, G. Zacher (1991)
Manuscripta mathematica
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S.E. Stonehewer, G. Zacher (1991)
Manuscripta mathematica
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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.
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We describe finite groups which contain just one conjugate class of self-normalizing subgroups.
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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.
W. Plesken, C.R. Leedham-Green (1986)
Mathematische Zeitschrift
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