Beidleman, James and Heineken, Hermann:
Pronormal and subnormal subgroups and permutability
Bollettino dell'Unione Matematica Italiana Serie 8 6-B (2003), fasc. n.3, p. 605-615, Unione Matematica Italiana (English)
pdf (244 Kb), djvu (158 Kb). | MR2014822 | Zbl 1147.20301
Sunto
Trattiamo gruppi finiti che soddisfano una delle condizioni seguenti: (1) I sottogruppi massimali permutano con i sottogruppi subnormali, (2) I sottogruppi massimali ed i $p$-sottogruppi di Sylow $(p < 7)$ permutano con i sottogruppi subnormali.
Referenze Bibliografiche
[1]
R. K. AGRAWAL,
Finite groups whose subnormal subgroups permute with all Sylow subgroups,
Proc. Amer. Math. Soc.,
47 (
1975), 77-83. |
MR 364444 |
Zbl 0299.20014[2]
M. ALEJANDRE-
A. BALLESTER-BOLINCHES-
M. C. PEDRAZA-AGUILERA,
Finite Soluble Groups with Permutable Subnormal Subgroups,
J. Algebra,
240 (
2001), 705-722. |
MR 1841353 |
Zbl 0983.20014[4]
J. C. BEIDLEMAN-
B. BREWSTER-
D. J. S. ROBINSON,
Criteria for permutability to be transitive in finite groups,
J. Algebra,
222 (
1999), 400-412. |
MR 1733679 |
Zbl 0948.20015[5]
J. C. BEIDLEMAN-
H. HEINEKEN,
Finite Soluble Groups Whose Subnormal Subgroups Permute With Certain Classes of Subgroups,
J. Group Theory (to appear). |
Zbl 1045.20012[6]
J. H. CONWAY-
R. T. CURTISS-
S. P. NORTON-
R. A. PARKER-
R. A. WILSON,
Atlas of finite groups,
Clarendon Press, Oxford,
1985. |
MR 827219 |
Zbl 0568.20001[7]
R. A. BRYCE-
J. COSSEY,
The Wielandt subgroup of a finite soluble group,
J. London Math. Soc.,
40 (
1989), 244-256. |
MR 1044272 |
Zbl 0734.20010[8]
W. GASCHÜTZ,
Gruppen, in denen das Normalteilersein transitivist,
J. reine angew Math.,
198 (
1957), 87-92. |
MR 91277 |
Zbl 0077.25003[10]
B. HUPPERT,
Normalteiler und maximale Untergruppen endlicher Gruppen,
Math. Z.,
60 (
1954), 409-434. |
MR 64771 |
Zbl 0057.25303[11]
O. H. KEGEL,
Sylow-Gruppen und Subnormalteiler endlicher Gruppen,
Math. Z.,
78 (
1962), 205-221. |
MR 147527 |
Zbl 0102.26802[12]
R. MAIER,
Zur Vertauschbarkeit und Subnormalität von Untergruppen,
Arch. Math.,
53 (
1989), 110-120. |
MR 1004266 |
Zbl 0673.20012[13]
T. A. PENG,
Finite groups with pronormal subgroups,
Proc. Amer. Math. Soc.,
20 (
1969), 232-234. |
MR 232850 |
Zbl 0167.02302[14]
D. J. S. ROBINSON,
A note on finite groups in which normality is transitive,
Proc. Amer. Math. Soc.,
19 (
1968), 933-937. |
MR 230808 |
Zbl 0159.31002[15]
D. J. S. ROBINSON,
A survey of groups in which normality or permutability is transitive, (
Indian National Science Academy, New Delhi 1999), 171-181. |
MR 1690796 |
Zbl 0952.20017[16]
D. J. S. ROBINSON,
The Structure of Finite Groups in which Permutability is a Transitive Relation,
J. Austral. Math. Soc.,
70 (
2001), 143-159. |
MR 1815277 |
Zbl 0997.20027[17]
G. ZACHER,
I gruppi risolubili finiti in cui i sottogruppi di composizione coincidano con i sottogruppi quasi-normali,
Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8),
37 (
1964), 150-154. |
MR 174633 |
Zbl 0136.28302