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Legovini, Pierantonio

Finite groups whose subgroups are either subnormal or pronormal. II. (Italian) Zbl 0482.20013

Rend. Sem. Mat. Univ. Padova 65, 47-51 (1981).
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MSC:

20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D35 Subnormal subgroups of abstract finite groups
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20D25 Special subgroups (Frattini, Fitting, etc.)

Keywords:

solvable groups; subnormal subgroups; pronormal subgroups; Sylow towers

Citations:

Zbl 0437.20013
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\textit{P. Legovini}, Rend. Semin. Mat. Univ. Padova 65, 47--51 (1981; Zbl 0482.20013)
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References:

[1] G.A. Chambers , p-normally embedded subgroups of finite soluble groups , J. Alg. , 16 ( 1970 ), pp. 442 - 445 . MR 268275 | Zbl 0232.20021 · Zbl 0232.20021
[2] B. Huppert , Endliche Gruppen - I , Springer-Verlag ( 1967 ). MR 224703 | Zbl 0217.07201 · Zbl 0217.07201
[3] P. Legovini , Gruppi finiti i cui sottogruppi sono o subnormali o pronormali , Rend. Sem. Mat. Univ. Padova , 58 ( 1977 ), pp. 129 - 147 . Numdam | Zbl 0437.20013 · Zbl 0437.20013
[4] P. Legovini , Catene pronormali nei gruppi finiti supersolubili , in corso di stampa presso i Rend. Sem. Mat. Univ. Padova . Numdam | Zbl 0498.20015 · Zbl 0498.20015
[5] A. Mann , A criterion for pronormality , J. London Math. Soc. , 44 ( 1969 ), pp. 175 - 176 . MR 238954 | Zbl 0165.34003 · Zbl 0165.34003
[6] T.A. Peng , Finite groups with pronormal subgroups , Proc. Amer. Math. Soc. , 20 ( 1969 ), pp. 232 - 234 . MR 232850 | Zbl 0167.02302 · Zbl 0167.02302
[7] J.S. RosE , Finite soluble groups with pronormal system normalizers , Proc. London Math. Soc. ( 3 ), 17 ( 1967 ), pp. 447 - 469 . MR 212092 | Zbl 0153.03602 · Zbl 0153.03602
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