Groups with dense subnormal subgroups

Francesco De Giovanni; Alessio Russo

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 101, page 19-27
  • ISSN: 0041-8994

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De Giovanni, Francesco, and Russo, Alessio. "Groups with dense subnormal subgroups." Rendiconti del Seminario Matematico della Università di Padova 101 (1999): 19-27. <http://eudml.org/doc/108485>.

@article{DeGiovanni1999,
author = {De Giovanni, Francesco, Russo, Alessio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {subnormal subgroups; dense families of subgroups},
language = {eng},
pages = {19-27},
publisher = {Seminario Matematico of the University of Padua},
title = {Groups with dense subnormal subgroups},
url = {http://eudml.org/doc/108485},
volume = {101},
year = {1999},
}

TY - JOUR
AU - De Giovanni, Francesco
AU - Russo, Alessio
TI - Groups with dense subnormal subgroups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 101
SP - 19
EP - 27
LA - eng
KW - subnormal subgroups; dense families of subgroups
UR - http://eudml.org/doc/108485
ER -

References

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  1. [1] C. Casolo, Groups in which all subgroups are subnormal, Rend. Accad. Naz. Sci.XL, 104 (1986), pp. 247-249. Zbl0608.20017MR879112
  2. [2] S. Franciosi - F. De Giovanni, Groups with infinite subnormal subgroups of bounded defect, Boll. Un. Mat. Ital., (6) 4D (1985), pp. 49-56. Zbl0605.20026MR871909
  3. [3] S. Franciosi - F. De Giovanni, Groups with dense normal subgroups, Ricerche Mat., 42 (1993), pp. 283-305. Zbl0809.20020MR1283361
  4. [4] L.A. Kurdachenko - N.F. Kuzennyi - N.N. Semko, Groups with a dense system of infinite almost normal subgroups, Ukrain. Math. J., 43 (1991), pp. 904-908. Zbl0786.20023MR1148853
  5. [5] J.C. Lennox - S. E. STONEHEWER, Subnormal Subgroups of Groups, Clarendon Press, Oxford (1987). Zbl0606.20001MR902587
  6. [6] S.K. Mahdavianary, A special class of three-Engel groups, Arch. Math. (Basel), 40 (1983), pp. 193-199. Zbl0498.20026MR701265
  7. [7] A. Mann, Groups with dense normal subgroups, Israel J. Math., 6 (1968), pp. 13-25. Zbl0155.05003MR232859
  8. [8] W. Möhres, Torsionfreie Gruppen, deren Untergruppen alle subnormal sind, Math. Ann., 284 (1989), pp. 245-249. Zbl0648.20039MR1000109
  9. [9] W. Möhres, Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind II, Rend. Sem. Mat. Univ. Padova, 81 (1989), pp. 269-287. Zbl0695.20022MR1020199
  10. [10] W. Möhres, Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind, Arch. Math. (Basel), 54 (1990), pp. 232-235. Zbl0663.20027MR1037610
  11. [11] W. Möhres, Hyperzentrale Torsiongruppen, deren Untergruppen alle subnormal sind, Illinois J. Math., 35 (1991), pp. 147-157. Zbl0697.20014MR1076671
  12. [12] D.J.S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin (1972). Zbl0243.20032
  13. [13] G. Vincenzi, Groups with dense pronormal subgroups, Ricerche Mat., 40 (1991), pp. 75-79. Zbl0754.20011MR1191887

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