On the rarity of quasinormal subgroups

John Cossey; Stewart Stonehewer

Rendiconti del Seminario Matematico della Università di Padova (2011)

  • Volume: 125, page 81-106
  • ISSN: 0041-8994

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Cossey, John, and Stonehewer, Stewart. "On the rarity of quasinormal subgroups." Rendiconti del Seminario Matematico della Università di Padova 125 (2011): 81-106. <http://eudml.org/doc/240660>.

@article{Cossey2011,
author = {Cossey, John, Stonehewer, Stewart},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite -groups; quasinormal subgroups; permutable subgroups; core-free subgroups},
language = {eng},
pages = {81-106},
publisher = {Seminario Matematico of the University of Padua},
title = {On the rarity of quasinormal subgroups},
url = {http://eudml.org/doc/240660},
volume = {125},
year = {2011},
}

TY - JOUR
AU - Cossey, John
AU - Stonehewer, Stewart
TI - On the rarity of quasinormal subgroups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2011
PB - Seminario Matematico of the University of Padua
VL - 125
SP - 81
EP - 106
LA - eng
KW - finite -groups; quasinormal subgroups; permutable subgroups; core-free subgroups
UR - http://eudml.org/doc/240660
ER -

References

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  1. [1] T. R. Berger - F. Gross, A universal example of a core-free permutable subgroup, Rocky Mountain J. Math., 12 (1982), pp. 345–365. Zbl0497.20013MR661742
  2. [2] J. Cossey - S. E. Stonehewer, Abelian quasinormal subgroups of finite p -groups, J. Algebra, 326 (2011), pp. 113–121. Zbl1218.20009MR2746054
  3. [3] M. Hall, The Theory of Groups, Macmillan, New York, 1959. Zbl0116.25403MR103215
  4. [4] B. Huppert - N. Blackburn, Finite Groups II, Springer-Verlag, Berlin-Heidelberg-New York, 1982. Zbl0477.20001MR650245
  5. [5] R. Maier - P. Schmid, The embedding of quasinormal subgroups in finite groups, Math. Z., 131 (1973), pp. 269–272. Zbl0259.20017MR364443
  6. [6] O. Ore, Structures and group theory I, Duke Math. J., 3 (1937), pp. 149–173. Zbl0016.35103MR1545977JFM63.0060.01
  7. [7] O. Ore, On the application of structure theory to groups, Bull. Amer. Math. Soc., 44 (1938), pp. 801–806. Zbl0020.34705MR1563880JFM64.0054.04
  8. [8] D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups I, Springer-Verlag, Berlin-Heidelberg-New York, 1972. Zbl0243.20033
  9. [9] S. E. Stonehewer, Permutable subgroups of some finite permutation groups, Proc. London Math. Soc., 28 (3) (1974), pp. 222–236. Zbl0293.20025MR376857
  10. [10] S. E. Stonehewer - G. Zacher, Abelian quasinormal subgroups of groups, Rend. Mat. Acc. Lincei, 15 (9) (2004), pp. 69–79. Zbl1154.20306MR2148535

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