Cyclic quasinormal subgroups of arbitrary groups

Stewart E. Stonehewer; Giovanni Zacher

Rendiconti del Seminario Matematico della Università di Padova (2006)

  • Volume: 115, page 165-187
  • ISSN: 0041-8994

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Stonehewer, Stewart E., and Zacher, Giovanni. "Cyclic quasinormal subgroups of arbitrary groups." Rendiconti del Seminario Matematico della Università di Padova 115 (2006): 165-187. <http://eudml.org/doc/108674>.

@article{Stonehewer2006,
author = {Stonehewer, Stewart E., Zacher, Giovanni},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {cyclic quasinormal subgroups; finite groups; quasinormal subgroups of infinite groups},
language = {eng},
pages = {165-187},
publisher = {Seminario Matematico of the University of Padua},
title = {Cyclic quasinormal subgroups of arbitrary groups},
url = {http://eudml.org/doc/108674},
volume = {115},
year = {2006},
}

TY - JOUR
AU - Stonehewer, Stewart E.
AU - Zacher, Giovanni
TI - Cyclic quasinormal subgroups of arbitrary groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2006
PB - Seminario Matematico of the University of Padua
VL - 115
SP - 165
EP - 187
LA - eng
KW - cyclic quasinormal subgroups; finite groups; quasinormal subgroups of infinite groups
UR - http://eudml.org/doc/108674
ER -

References

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  2. [2] J. COSSEY - S.E. STONEHEWER, Cyclic permutable subgroups of finite groups, J. Austral. Math. Soc., 71 (2001), pp. 169-176. Zbl1001.20010MR1847187
  3. [3] J. COSSEY - S.E. STONEHEWER, The embedding of a cyclic permutable subgroup in a finite group, Illinois J. of Math., 47 (2003), pp. 89-111. Zbl1033.20020MR2031309
  4. [4] J. COSSEY - S.E. STONEHEWER, The embedding of a cyclic permutable subgroup in a finite group II, Proc. Edinburgh Math. Soc., 47 (2004), pp. 101-109. Zbl1083.20021MR2064738
  5. [5] L. FUCHS, Abelian Groups, Pergamon Press (New York, 1960). MR111783
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  7. [7] K. IWASAWA, On the structure of infinite M-groups, Jap. J. Math., 18 (1943), pp. 709-728. Zbl0061.02504MR15118
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  9. [9] O. ORE, On the application of structure theory to groups, Bull. Amer. Math. Soc., 44 (1938), pp. 801-806. Zbl0020.34705MR1563880JFM64.0054.04
  10. [10] D.J.S. ROBINSON, A Course in the Theory of Groups, Graduate Texts in Math. 80, 2nd edition (Springer, New York, 1996). Zbl0836.20001MR1357169
  11. [11] R. SCHMIDT, Subgroup Lattices of Groups (Walter de Gruyter, Berlin, 1994). Zbl0843.20003MR1292462
  12. [12] W.R. SCOTT, Group Theory, Prentice-Hall, Inc. (Englewood Cliffs, N.J., 1964). Zbl0126.04504MR167513
  13. [13] S.E. STONEHEWER, Permutable subgroups of infinite groups, Math. Z., 125 (1972), pp. 1-16. Zbl0219.20021MR294510
  14. [14] S.E. STONEHEWER, Modular subgroup structure in infinite groups, Proc. London Math. Soc., (3), 32 (1976), pp. 63-100. Zbl0345.20040MR399274
  15. [15] S.E. STONEHEWER - G. ZACHER, Abelian quasinormal subgroups of groups, Rend. Mat. Acc. Lincei, (9), 15 (2004), pp. 69-79. Zbl1154.20306MR2148535

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