Analoga des Fundamentalsatzes der projektiven Geometrie in der Gruppentheorie - I

Michael Schenke

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 255-303
  • ISSN: 0041-8994

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Schenke, Michael. "Analoga des Fundamentalsatzes der projektiven Geometrie in der Gruppentheorie - I." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 255-303. <http://eudml.org/doc/108066>.

@article{Schenke1987,
author = {Schenke, Michael},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {isomorphism of subgroup lattice; induced by group isomorphism; subgroup lattices; finite -groups; nilpotency class; minimal counterexamples},
language = {ger},
pages = {255-303},
publisher = {Seminario Matematico of the University of Padua},
title = {Analoga des Fundamentalsatzes der projektiven Geometrie in der Gruppentheorie - I},
url = {http://eudml.org/doc/108066},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Schenke, Michael
TI - Analoga des Fundamentalsatzes der projektiven Geometrie in der Gruppentheorie - I
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 255
EP - 303
LA - ger
KW - isomorphism of subgroup lattice; induced by group isomorphism; subgroup lattices; finite -groups; nilpotency class; minimal counterexamples
UR - http://eudml.org/doc/108066
ER -

References

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  1. [1] Adney - YEN, Automorphisms of a p-group, Illinois J. Math., 9 (1965), pp. 137-143. Zbl0125.28803MR171845
  2. [2] R. Baer, The significance of the system of subgroups for the structure of the group, Amer. J. of Math., 61 (1939), pp. 1-44. Zbl0020.34704MR1507945JFM65.0060.01
  3. [3] C.D.H. Cooper, Power automorphisms of a group, Math. Z., 107 (1968), pp. 335-356. Zbl0169.33801MR236253
  4. [4] Fuchs, Abelian groups, Pergamon Press (1960). Zbl0100.02803MR111783
  5. [5] B. Huppert, Endliche Gruppen I, Springer-Verlag, Berlin/Heidelberg/New York (1967). Zbl0217.07201MR224703
  6. [6] Jakovlev, Lattice isomorphisms of groups, Algebra and Logic, 9 (1970), pp. 210-222. Zbl0226.20030
  7. [7] Meier - WUNDERLI, Metabelsche Gruppen, Comm. Math. Helv., 25 (1951), pp. 1-10. Zbl0044.01505MR40296
  8. [8] Miech, The metabelian p-groups of maximal class II, Trans. Amer. Math. Soc., 272 (1982), pp. 465-474. Zbl0518.20016MR662046
  9. [9] L. Redei, Das schiefe Produkt in der Gruppentheorie, Comm. Math. Helv., 20 (1947), pp. 225-267. Zbl0035.01503MR21933
  10. [10] R. Schmidt, Der Untergruppenverband des direkten Produktes zweier isomorpher Gruppen, Journal of Algebra, 73 (1981), pp. 264-272. MR641644
  11. [11] R. Schmidt, Untergruppenverbände endlicher Gruppen mit elementarabelschen Hallschen Normalteilern, J. Reine Angew. Math., 334 (1982), pp. 116-140. Zbl0476.20017MR667453
  12. [12] M. Suzuki, On the lattice of subgroups of finite groups, Trans. Amer. Math. Soc., 70 (1951), pp. 345-371. Zbl0043.02502MR39717
  13. [13] M. Suzuki, Structure of a group and the structure of its lattice of subgroups, Springer-Verlag, Berlin/Göttingen /Heidelberg (1956). Zbl0070.25406MR83487
  14. [14] G. Zacher, Sul reticolo dei sottogruppi del quadrato cartesiano di un gruppo semplice, Rend. Sem. Mat. Univ. Padova, 65 (1981), pp. 1-7. 

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