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Caratterizzazione dei gruppi immagini omomorfe duali di un gruppo finito. (Italian) Zbl 0267.20031


MSC:

20E15 Chains and lattices of subgroups, subnormal subgroups
20D05 Finite simple groups and their classification
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References:

[1] Baer R. : Duatism in abetian groups . Bull. Amer. Math. Soc. , vol. XLIII , 121 - 124 , 1937 . Article | JFM 63.0073.06 · JFM 63.0073.06
[2] Baer R. : Duality and commutativity of groups . Duke Math. Journal , vol. V , 824 - 838 , 1939 . Article | MR 626 | JFM 65.0061.01 · JFM 65.0061.01
[3] B G. : Lattice theory . American Math. Soc. Colloquim publicationes , vol. XXV , 1948 . · Zbl 0033.10103
[4] Brauer R. , Suzuki M. : On finite groups of even order whose 2-Sylow group is a quaternion group . Proceed. of the Nat. Acad. of Sc. USA , vol. XLV , 1757 - 59 , 1959 . MR 109846 | Zbl 0090.01901 · Zbl 0090.01901 · doi:10.1073/pnas.45.12.1757
[5] Curzio M. : Sui gruppi supersolubili per cui il reticolo dei sottogruppi di composizione è autoduale . Le Matematiche , vol. XII , 74 - 79 , 1957 . MR 124390 | Zbl 0214.27801 · Zbl 0214.27801
[6] Gaschütz W. : Uber die \Phi - Untergruppe endlicher Gruppen . Math. Zeit. , vol. LVIII , 160 - 170 , 1953 . Zbl 0050.02202 · Zbl 0050.02202 · doi:10.1007/BF01174137
[7] Gaschütz W. : Gruppen, deren sämtliche Untergruppen Zentralisatoren sind . Archiv der Math. , Vol. VI , 5 - 8 , 1955 . MR 67114 | Zbl 0057.02002 · Zbl 0057.02002 · doi:10.1007/BF01899203
[8] Huppert B. : Normalteiter und maximale Untergruppen endlicher Gruppen . Math. Zeit. , vol. LX , 409 - 434 , 1954 . MR 64771 | Zbl 0057.25303 · Zbl 0057.25303 · doi:10.1007/BF01187387
[9] Suzuki M. : On the lattice of subgroups of finite groups . Trans. Amer. Math. Soc. , vol. LXX , 345 - 371 , 1951 . MR 39717 | Zbl 0043.02502 · Zbl 0043.02502 · doi:10.2307/1990375
[10] Suzuki M. : Structure of a group and the structure of its lattice of subgroups. Erg. der Math. und ihrer Grenzgebiete , Heft 10 , Springer Verlag , Berlin , 1956 . MR 83487 | Zbl 0070.25406 · Zbl 0070.25406
[11] Zacher G. : On lattice dual-homomorphisms between finite groups . Rend. Sem. Mat. Univ. Padova , vol. XXX , 65 - 75 , 1960 . Numdam | MR 113942 | Zbl 0113.25601 · Zbl 0113.25601
[12] Zacher G. : I gruppi risolubili con duale . Rend. Sem. Mat. Univ. Padova , vol. XXXI , 104 - 113 , 1961 . Numdam | MR 125881 | Zbl 0113.25302 · Zbl 0113.25302
[13] Zassenhaus H. : The theory of groups . Second Edition, Chelsea Publ. C. New-York , 1958 . MR 91275 | Zbl 0083.24517 · Zbl 0083.24517
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