On non-supersoluble and non-polycyclic normal subgroups

James C. Beidleman; Howard Smith

Rendiconti del Seminario Matematico della Università di Padova (1993)

  • Volume: 89, page 47-56
  • ISSN: 0041-8994

How to cite

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Beidleman, James C., and Smith, Howard. "On non-supersoluble and non-polycyclic normal subgroups." Rendiconti del Seminario Matematico della Università di Padova 89 (1993): 47-56. <http://eudml.org/doc/108292>.

@article{Beidleman1993,
author = {Beidleman, James C., Smith, Howard},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {property of groups; normal subgroup; finite -quotient; polycyclicity; closure properties; finiteness conditions},
language = {eng},
pages = {47-56},
publisher = {Seminario Matematico of the University of Padua},
title = {On non-supersoluble and non-polycyclic normal subgroups},
url = {http://eudml.org/doc/108292},
volume = {89},
year = {1993},
}

TY - JOUR
AU - Beidleman, James C.
AU - Smith, Howard
TI - On non-supersoluble and non-polycyclic normal subgroups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1993
PB - Seminario Matematico of the University of Padua
VL - 89
SP - 47
EP - 56
LA - eng
KW - property of groups; normal subgroup; finite -quotient; polycyclicity; closure properties; finiteness conditions
UR - http://eudml.org/doc/108292
ER -

References

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  1. [1] J.C. Beidleman - D. J. S. ROBINSON, On the structure of the normal subgroups of a group: nilpotency, Forum Math., 3 (1991), pp. 581-593. Zbl0759.20011MR1130000
  2. [2] J.C. Beidleman - D. J. S. ROBINSON, On the structure of the normal subgroups of a group: supersolubility, Rend. Sem. Mat. Univ. Padova, 87 (1992), pp. 139-149. Zbl0811.20035MR1183906
  3. [3] R.S. Dark, A prime Baer group, Math. Z., 105 (1968), pp. 294-298. Zbl0157.35201MR227259
  4. [4] K.W. Gruenberg, Residual properties of infinite soluble groups, Proc. London Math. Soc., (3), 7 (1957), pp. 29-62. Zbl0077.02901MR87652
  5. [5] J. Otal - J. M. PEÑA, Characterizations of the conjugacy of Sylow p-subgroups of CC-groups, Proc. Amer. Math. Soc., 106 (1989), pp. 605-610. Zbl0672.20017MR961407
  6. [6] D.J.S. Robinson, Finiteness Conditions and Generalized Soluble Groups (2 vols.), Springer, Berlin (1972). Zbl0243.20033
  7. [7] D.J.S. Robinson, A Course in the Theory of Groups, Springer, New York (1982). Zbl0483.20001MR648604
  8. [8] B.A.F. Wehrfritz, Infinite Linear Groups, Springer, Berlin (1973). Zbl0261.20038MR335656

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