Modularità nei gruppi non-periodici

Maria De Falco

Bollettino dell'Unione Matematica Italiana (2005)

  • Volume: 8-B, Issue: 2, page 349-358
  • ISSN: 0392-4041

Abstract

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Results concerning the structure of non-periodic groups whose subgroups satisfy a suitable modularity condition are discussed in this paper.

How to cite

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De Falco, Maria. "Modularità nei gruppi non-periodici." Bollettino dell'Unione Matematica Italiana 8-B.2 (2005): 349-358. <http://eudml.org/doc/195297>.

@article{DeFalco2005,
abstract = {In questo lavoro sono contenuti alcuni risultati riguardanti la struttura dei gruppi non-periodici in cui sottogruppi verificano opportune condizioni di modularità.},
author = {De Falco, Maria},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {modular subgroups; subgroups of finite index; modular lattices of subgroups; projectivities},
language = {ita},
month = {6},
number = {2},
pages = {349-358},
publisher = {Unione Matematica Italiana},
title = {Modularità nei gruppi non-periodici},
url = {http://eudml.org/doc/195297},
volume = {8-B},
year = {2005},
}

TY - JOUR
AU - De Falco, Maria
TI - Modularità nei gruppi non-periodici
JO - Bollettino dell'Unione Matematica Italiana
DA - 2005/6//
PB - Unione Matematica Italiana
VL - 8-B
IS - 2
SP - 349
EP - 358
AB - In questo lavoro sono contenuti alcuni risultati riguardanti la struttura dei gruppi non-periodici in cui sottogruppi verificano opportune condizioni di modularità.
LA - ita
KW - modular subgroups; subgroups of finite index; modular lattices of subgroups; projectivities
UR - http://eudml.org/doc/195297
ER -

References

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  2. DE FALCO, M. - DE GIOVANNI, F. - MUSELLA, C. - SYSAK, Y. P., Periodic groups with nearly modular subgroup lattice, Illinois J. Math., 47 (2003), 189-205. Zbl1032.20021MR2031315
  3. DE FALCO, M. - DE GIOVANNI, F. - MUSELLA, C., Groups in which every subgroup is modular-by-finite, Bull. Austral. Math. Soc., 69 (2004), 441-450. Zbl1056.20019MR2066662
  4. DE FALCO, M. - DE GIOVANNI, F. - MUSELLA, C., Groups with modular subgroup lattice, Advances in Group Theory 2002 (Proceedings of the intensive research period held in Napoli, May-June 2002). Zbl1057.20022
  5. DE GIOVANNI, F. - MUSELLA, C. - SYSAK, Y. P., Groups with almost modular subgroup lattice, J. Algebra, 243 (2001), 738-764. Zbl0995.20011MR1850656
  6. DE GIOVANNI, F. - MUSELLA, C., Groups with nearly modular subgroup lattice, Colloq. Math., 88 (2001), 13-20. Zbl0985.20016MR1814912
  7. IWASAWA, K., Über die endlichen Gruppen und die Verbände ihrer Untergruppen, J. Fasc. Sci. Imp. Univ. Tokyo, 4 (1941), 171-199. Zbl0061.02503MR5721
  8. IWASAWA, K., On the structure of infinite M-groups, Jap. J. Math., 18 (1943), 709-728. Zbl0061.02504MR15118
  9. NEUMANN, B. H., Groups with finite classes of conjugate subgroups, Math. Z., 63 (1955), 76-96. Zbl0064.25201MR72137
  10. ROBINSON, D. J. S., Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin (1972). Zbl0243.20033
  11. SCHMIDT, R., Gruppen mit modularem Untergruppenverband, Arch. Math. (Basel), 46 (1986), 118-124. Zbl1027.20501MR834823
  12. SCHMIDT, R., Subgroup Lattices of Groups, de Gruyter, Berlin (1994). Zbl0843.20003MR1292462
  13. STONEHEWER, S. E., Modular subgroup structure in infinite groups, Proc. London Math. Soc., 32 (1976), 63-100. Zbl0345.20040MR399274
  14. ZACHER, G., Una caratterizzazione reticolare della finitezza dell’indice di un sottogruppo in un gruppo, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 69 (1980), 317-323. 

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