Some results on the partitions of groups

M. Farrokhi D. G.

Rendiconti del Seminario Matematico della Università di Padova (2011)

  • Volume: 125, page 119-146
  • ISSN: 0041-8994

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Farrokhi D. G., M.. "Some results on the partitions of groups." Rendiconti del Seminario Matematico della Università di Padova 125 (2011): 119-146. <http://eudml.org/doc/242024>.

@article{FarrokhiD2011,
author = {Farrokhi D. G., M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite groups; partitions of groups; components; numbers of subgroups; orders of groups; nilpotent groups},
language = {eng},
pages = {119-146},
publisher = {Seminario Matematico of the University of Padua},
title = {Some results on the partitions of groups},
url = {http://eudml.org/doc/242024},
volume = {125},
year = {2011},
}

TY - JOUR
AU - Farrokhi D. G., M.
TI - Some results on the partitions of groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2011
PB - Seminario Matematico of the University of Padua
VL - 125
SP - 119
EP - 146
LA - eng
KW - finite groups; partitions of groups; components; numbers of subgroups; orders of groups; nilpotent groups
UR - http://eudml.org/doc/242024
ER -

References

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  3. [3] R. Baer, Einfache Partitionen endlicher Gruppen mit nicht-trivialer Fittingscher Untergruppe, Arch. Math. (Basil), 12 (1961), pp. 81–89. Zbl0102.26903MR136649
  4. [4] J. D. Dixon - M. P. F. du Sautoy - A. Mann - D. Segal, Analytic pro- p groups, Second Edition, Cambridge University Press, 1999. Zbl0934.20001MR1720368
  5. [5] M. FarrokhiD. G., Partitions of Groups, M.Sc Thesis, Ferdowsi University of Mashhad, Iran (February 2007). 
  6. [6] B. Huppert, Endliche Gruppen I, Springer-Verlag, 1967. Zbl0412.20002MR224703
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  8. [8] O. H. Kegel, Aufzählung der Partitionen endlicher Gruppen mit trivialer Fittingscher Untergruppe, Arch. Math. (Basil), 12 (1961), pp. 409–412. Zbl0114.25503MR143812
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  12. [12] E. I. Khukhro, Nilpotent Groups and their Automorphisms, Walter de Gruyter, Berlin-New York, 1993. Zbl0795.20018MR1224233
  13. [13] I. D. Macdonald, Solution of the Hughes problem for finite p -groups of class 2 p - 2 , Proc. Amer. Math. Soc. 27 No. 1 (1971), pp. 39–42. Zbl0211.04402MR271230
  14. [14] G. A. Miller, Groups in which all the operators are contained in a series of subroups such that any two have only identity in common, Bull. Amer. Math. Soc., 17 (1906/197), pp. 446–449. Zbl37.0170.01MR1558369JFM37.0170.01
  15. [15] D. J. Robinson, A Course in the Thoery of Groups, Springer-Verlag, 1982. Zbl0836.20001MR648604
  16. [16] R. H. Schulz, On a conjucture of Herzer concerning linear partitions, J. Geom., 26 (1986), pp. 186–190. Zbl0611.20018MR850164
  17. [17] M. Suzuki, On a class of doubly transitive groups, Ann. of Math. (2), 75 (1962), pp. 104–145. Zbl0106.24702MR136646
  18. [18] M. Suzuki, On a finite group with a partition, Arch. Math. (Basil), 12 (1961), pp. 241–254. Zbl0107.25902MR136647
  19. [19] J. W. Young, On the partition of a group and the resulting classification, Bull. Amer. Math. Soc., 35 (1927), pp. 453–461. Zbl53.0107.04MR1561400JFM53.0107.04
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  21. [21] G. Zappa, Partitions and other coverings of groups, Illinois J. Math., 47 No. 1/2 (Spring/Summer 2003), pp. 571–580. Zbl1033.20018MR2031342

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