The number of conjugacy classes in a finite nilpotent group

Antonio Vera Lopez

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 73, page 209-216
  • ISSN: 0041-8994

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Vera Lopez, Antonio. "The number of conjugacy classes in a finite nilpotent group." Rendiconti del Seminario Matematico della Università di Padova 73 (1985): 209-216. <http://eudml.org/doc/107979>.

@article{VeraLopez1985,
author = {Vera Lopez, Antonio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite p-group; centre; number of conjugacy classes; maximal abelian subgroup},
language = {eng},
pages = {209-216},
publisher = {Seminario Matematico of the University of Padua},
title = {The number of conjugacy classes in a finite nilpotent group},
url = {http://eudml.org/doc/107979},
volume = {73},
year = {1985},
}

TY - JOUR
AU - Vera Lopez, Antonio
TI - The number of conjugacy classes in a finite nilpotent group
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 73
SP - 209
EP - 216
LA - eng
KW - finite p-group; centre; number of conjugacy classes; maximal abelian subgroup
UR - http://eudml.org/doc/107979
ER -

References

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  1. [1] E.A. Bertram, A density Theorem on the number of conjugacy classes in finite groups, Pacific J. Math., 55 (1974), pp. 329-333. Zbl0325.20022MR382199
  2. [2] P. Erdös - P. Turan, On some problems of a statistical group-theory, IV, Acta Math. Acad. Sci. Hung., 19 (1968), pp. 413-435. Zbl0235.20004MR232833
  3. [3] W.H. Gustafson, What is the probability that two group elements commute?, Amer. Math. Monthly, 80 (1973), pp. 1031-1034. Zbl0276.60013MR327901
  4. [4] M. Hall - J. Senior, The groups of order 2n, n ≤ 6, MacMillan Co., New York, 1964. Zbl0192.11701
  5. [5] P. Hall, The Eulerian functions of a group, Quart. J. Math., 7 (1936), pp. 134-151. Zbl0014.10402JFM62.0082.02
  6. [6] B. Huppert, Endliche Gruppen I, Springer-Verlag, Berlin, 1967. Zbl0217.07201MR224703
  7. [7] B. Huppert - N. Blackburn, Finite groups II, Springer-Verlag, Berlin, New York, 1982. Zbl0477.20001MR650245
  8. [8] N. Ito, On finite groups with given conjugate types I, Nagoya Math. J., 6 (1953), pp. 17-28. Zbl0053.01202MR61597
  9. [9] A. Mann, Conjugacy classes in finite groups, Israel J. Math., 31, No. 1, (1978), pp. 78-84. Zbl0771.20011MR506901
  10. [10] J. Poland, Two problems of finite groups with k conjugate classes, J. Austral. Math. Soc., 8 (1968), pp. 49-55. Zbl0167.29103MR233883
  11. [11] J. Rebmann, F-gruppen, Arch. Math., 22 (1971), pp. 225-230. Zbl0221.20032MR291275
  12. [12] E. Rodemich, The groups of order 128, J. Algebra, 67 (1980), pp. 129-142. Zbl0449.20037MR595024
  13. [13] G. Sherman, A lower bound for the number of conjugacy classes in a finite nilpotent group, Pacific J. Math., 80, No. 1 (1979), pp. 253-254. Zbl0377.20017MR534714
  14. [14] M. Suzuki, Group Theory I, Springer Verlag, Berlin, New York, 1982. Zbl0472.20001MR648772
  15. [15] A. Vera, Conjugacy classes in finite solvable groups, to appear in Israel J. Math. Zbl0533.20007MR738171

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