On Solvability of Finite Groups with Few Non-Normal Subgroups

REFERENCES

• Brandl , R. ( 1995 ). Groups with few non-normal subgroups . Comm. algebra 23 ( 6 ): 2091 – 2098 .
   Web of Science ®Google Scholar
• Brandl , R. ( 2013 ). Non-soluble groups with few conjugacy classes of non-normal subgroups . Beitr. Algebra Geom. 54 : 493 – 501 .
   Google Scholar
• Dedekind , R. ( 1897 ). Über Gruppen, deren samtliche Teiler Normalteiler sind . Math. Ann. 48 : 548 – 561 .
   Google Scholar
• Dietrich , H. , Eick , B. ( 2005 ). On the groups of cube-free order . J. Algebra 292 : 122 – 137 .
   Web of Science ®Google Scholar
• Gorenstein , D. ( 1980 ). Fnite Groups . New York : Harper & Row Pubishers .
   Google Scholar
• Huppert , B. ( 1967 ). Endliche Gruppen I . Berlin , Heidelberg, New York : Springer-Verlag .
   Google Scholar
• Mousavi , H. ( 1999 ). On finite groups with few non-normal subgroups . Comm. Algebra 27 ( 7 ): 3143 – 3151 .
   Web of Science ®Google Scholar
• Suzuki , M. ( 1957 ). The nonexistence of a certain type of simple groups of odd order . Proc. Am. Math. Soc. 8 ( 4 ): 686 – 695 .
   Google Scholar
• Yanko , Z. ( 1962 ). Endliche Gruppen mit lauter nilpotenten zweitmaximalen Untergruppen . Math. Z. 79 : 422 – 424 .
   Google Scholar
• Communicated by V. A. Artamonov.
   Google Scholar