Finite groups of the form ABA. (English. Russian original) Zbl 0518.20019
Algebra Logic 21, 234-241 (1983); translation from Algebra Logika 21, 344-356 (1982).
MSC:
| 20D40 | Products of subgroups of abstract finite groups |
| 20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
Citations:
Zbl 0275.20045References:
| [1] | D. Gorenstein, ”Finite groups which admit an automorphism with few orbits,” Can. J. Math.,12, No. 1, 73–100 (1960). · Zbl 0244.20015 · doi:10.4153/CJM-1960-008-6 |
| [2] | D. Gorenstein, ”On finite groups of the form ABA,” Can. J. Math.,14, No. 2, 195–236 (1962). · Zbl 0106.02103 · doi:10.4153/CJM-1962-015-9 |
| [3] | M. Guterman, ”On ABA-groups of finite order,” Trans. Am. Math. Soc.,139, 109–143 (1969). · Zbl 0175.30001 |
| [4] | J. Szep and G. Zappa, ”Sui gruppi trifattorizzabili,” Atti Accad. Naz. Lincei, Rend. Sc. Fis. Mat. Nat.,45, Nos. 3–4, 113–116 (1968). · Zbl 0188.06103 |
| [5] | I. P. Doktorov, ”Finite ABA-groups,” Sib. Mat. Zh.,15, No. 1, 28–34 (1974). · Zbl 0275.20045 |
| [6] | I. P. Doktorov, ”A characterization of finite ABA-groups with Abelian Hall subgroups A and B,” in: Finite Groups [in Russian], Minsk (1975), pp. 30–42. |
| [7] | I. P. Doktorov, ”A criterion for the solvability of ABA-groups,” in: 7th All-Union Symposium on Group Theory, Abstracts of Reports, Krasnoyarsk (1980), p. 36. |
| [8] | J. W. Walter, ”The characterization of finite groups with Abelian Sylow 2-subgroups,” Ann Math.,89, No. 3, 405–514 (1969). · Zbl 0184.04605 · doi:10.2307/1970648 |
| [9] | B. Huppert, Endliche Gruppen I, Springer-Verlag (1967). · Zbl 0217.07201 |
| [10] | D. Gorenstein, Finite Groups, Harper and Row (1968). · Zbl 0185.05701 |
| [11] | D. Gorenstein and I. N. Herstein, ”A class of solvable groups,” Can. J. Math.,11, No. 2, 311–320 (1959). · Zbl 0089.01503 · doi:10.4153/CJM-1959-033-0 |
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