Shmidt groups. (English) Zbl 0625.20017
Translation from Sib. Mat. Zh. 28, No.2(162), 74-78 (Russian) (1987; Zbl 0622.20010).
MSC:
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
| 20D15 | Finite nilpotent groups, \(p\)-groups |
| 20G40 | Linear algebraic groups over finite fields |
References:
| [1] | O. Yu. Schmidt, ?Groups, all the subgroups of which are special,? Mat. Sb.,31, No. 3, 336-372 (1924). |
| [2] | B. Huppert, Endliche Gruppen I, Springer-Verlag, Berlin (1967). · Zbl 0217.07201 |
| [3] | Yu. A. Gol’fand, ?Groups, all the subgroups of which are special,? Dokl. Akad. Nauk SSSR,60, No. 8, 1313-1315 (1948). |
| [4] | V. D. Mazurov and S. A. Syskin, ?Finite groups with special Sylow 2-subgroups,? Mat. Zametki,14, No. 2, 217-222 (1974). |
| [5] | V. D. Mazurov, ?2-groups having an automorphism of odd order that is identical on involutions,? Algebra Logika,8, No. 6, 674-685 (1969). |
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