Groups with soluble factor groups and projectivities

Giorgio Busetto; Federico Menegazzo

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 73, page 249-260
  • ISSN: 0041-8994

How to cite

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Busetto, Giorgio, and Menegazzo, Federico. "Groups with soluble factor groups and projectivities." Rendiconti del Seminario Matematico della Università di Padova 73 (1985): 249-260. <http://eudml.org/doc/107983>.

@article{Busetto1985,
author = {Busetto, Giorgio, Menegazzo, Federico},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {projectivity; lattice isomorphism; lattice of subgroups; derived; length; derived series; finite p-groups; soluble groups; modular; groups},
language = {eng},
pages = {249-260},
publisher = {Seminario Matematico of the University of Padua},
title = {Groups with soluble factor groups and projectivities},
url = {http://eudml.org/doc/107983},
volume = {73},
year = {1985},
}

TY - JOUR
AU - Busetto, Giorgio
AU - Menegazzo, Federico
TI - Groups with soluble factor groups and projectivities
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 73
SP - 249
EP - 260
LA - eng
KW - projectivity; lattice isomorphism; lattice of subgroups; derived; length; derived series; finite p-groups; soluble groups; modular; groups
UR - http://eudml.org/doc/107983
ER -

References

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  1. [1] G. Birkhoff, Lattice Theory, Amer.Math. Soc. Colloquium Publications, 25, New York, 1949. 
  2. [2] G. Busetto, Sottogruppi normali e proiettività, Rend. Sem. Mat. Univ. Padova, 67, pp. 105-110. 
  3. [3] G. Busetto, Normal subgroups and projectivities, J. Algebra (to appear). Zbl0594.20021MR741931
  4. [4] F Gross, p-subgroups of core-free quasi-normal subgroups, Rocky Mountains J. Math., 1 (1971), pp. 541-550. Zbl0238.20040MR279192
  5. [5] F. Menegazzo, Normal subgroups and projectivities of finite groups, Rend. Sem. Mat. Univ. Padova, 59 (1978), pp. 11-15. Zbl0581.20018MR547074
  6. [6] R. Schmidt, Modulare Untergruppen endlicher Gruppen, Illinois J. Math., 13 (1969), pp. 358-377. Zbl0169.34102MR258972
  7. [7] M. Suzuki, On the lattice of subgroups of finite groups, Trans. Amer. Math. Soc.,70 (1951), pp. 345-371. Zbl0043.02502MR39717
  8. [8] M. Suzuki, Structure of a group and the structure of its lattice of subgrvups, Erg. der Math., 10, Springer-Verlag, Berlin (1956). Zbl0070.25406MR83487
  9. [9] B.V. Yakovlev, Lattice isomorphisms ofs olvable groups, Alg. i Log., 9 (1970), pp. 349-369. Zbl0226.20030MR289659
  10. [10] G. Zacher, Una caratterizzazione reticolare della finitezza dell'indice di un sottogruppo in un gruppo, Rend. Accad. Naz. Lincei, 69 (1980), pp. 317-323. 
  11. [11] G. Zappa, Sulla risolubilità dei gruppi finiti in isomorfismo reticolare con un gruppo risolubile, Giornale di Mat. Battaglini, 80 (1951), pp. 213-255. Zbl0044.01103MR45721

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