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Untergruppenverbände involutorisch erzeugter Gruppen. (German) Zbl 0454.20037

MSC:
20E15 Chains and lattices of subgroups, subnormal subgroups
20D30 Series and lattices of subgroups
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References:
[1] R. Baer , The significance of the system of subgroups for the structure of the group , Amer. J. Math. , 61 ( 1939 ), pp. 1 - 44 . MR 1507945 | JFM 65.0060.01 · Zbl 0020.34704 · doi:10.2307/2371383
[2] J. Dieudonné , La géométrie des groupes classiques , Berlin - Heidelberg - New York , Springer , 1971 . MR 310083 | Zbl 0221.20056 · Zbl 0221.20056
[3] B. Huppert , Geometric algebra, Lecture notes , University of Illinois at Chicago Circle , 1968 /69.
[4] R. Schmidt , Modulare Untergruppen endlicher Gruppen , Illinois J. Math. , 13 ( 1969 ), pp. 358 - 377 . MR 258972 | Zbl 0169.34102 · Zbl 0169.34102
[5] R. Schmidt , Untergruppenverbände zweifach transitiver Permutationsgruppen , Math. Zeitschrift , 144 ( 1975 ), pp. 161 - 168 . Article | MR 376833 | Zbl 0302.20002 · Zbl 0302.20002 · doi:10.1007/BF01190945 · minidml.mathdoc.fr
[6] R. Schmidt , Untergruppenverbände endlicher einfacher Gruppen , Geometriae Dedicata , 6 ( 1977 ), pp. 275 - 290 . MR 473001
[7] R. Schmidt , Untergruppenverbände direkter Produkte von Gruppen , Archiv Math. , 30 ( 1978 ), pp. 229 - 235 . MR 491982
[8] W.R. Scott , Group theory , Englewood Cliffs , Prentice-Hall , 1964 . MR 167513 | Zbl 0126.04504 · Zbl 0126.04504
[9] M. Suzuki , On the lattice of subgroups of finite groups , Trans. Amer. Math. Soc. , 70 ( 1951 ), pp. 345 - 371 . MR 39717 | Zbl 0043.02502 · Zbl 0043.02502 · doi:10.2307/1990375
[10] M. Suzuki , Structure of a group and the structure of its lattice of subgroups, Ergebnisse der Mathematik Band 10 , Berlin - Göttingen - Heidelberg , Springer , 1956 . MR 83487 | Zbl 0070.25406 · Zbl 0070.25406
[11] G. Zappa , Fondamenti di Teoria dei gruppi - I , Roma , Edizioni Cremonese , 1965 . MR 197538 | Zbl 0135.03402 · Zbl 0135.03402
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