Extreme elements of finite p -groups

Avinoam Mann

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 83, page 45-54
  • ISSN: 0041-8994

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Mann, Avinoam. "Extreme elements of finite $p$-groups." Rendiconti del Seminario Matematico della Università di Padova 83 (1990): 45-54. <http://eudml.org/doc/108182>.

@article{Mann1990,
author = {Mann, Avinoam},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {non-central commutators; centralizer; -groups; conjugacy classes},
language = {eng},
pages = {45-54},
publisher = {Seminario Matematico of the University of Padua},
title = {Extreme elements of finite $p$-groups},
url = {http://eudml.org/doc/108182},
volume = {83},
year = {1990},
}

TY - JOUR
AU - Mann, Avinoam
TI - Extreme elements of finite $p$-groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 83
SP - 45
EP - 54
LA - eng
KW - non-central commutators; centralizer; -groups; conjugacy classes
UR - http://eudml.org/doc/108182
ER -

References

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  1. [B] R. Baer, Partitionen endlicher Gruppen, Math. Z., 75 (1901), pp. 333-372. Zbl0103.01404MR151507
  2. [G] J.A. Gallian, The Hughes problem and generalizations, Proc. Conf. Finite Groups (Park City, 1975), pp. 521-528, New York, 1976. Zbl0384.20018MR404439
  3. [H] B. Huppert, Endliche Gruppen - I, Berlin, 1967. Zbl0217.07201MR224703
  4. [I] N. Ito, On finite groups with given conjugate types - I, Nagoya Math. J., 6 (1953), pp. 17-28. Zbl0053.01202MR61597
  5. [M1] A. Mann, Conjugacy classes in finite groups, Israel J. Math., 31 (1978), pp. 78-84. Zbl0771.20011MR506901
  6. [M2] A. Mann, Groups with small Abelian subgroups, Arch. Math., 50 (1988), pp. 210-213. Zbl0637.20013MR933913
  7. [M3] A. Mann, Some finite groups with large conjugacy classes, in preparation. Zbl0693.20019
  8. [R] D.M. Rocke, p-groups with Abelian centralizers, Proc. London Math. Soc., (3) 30 (1975), pp. 55-75. Zbl0375.20014MR360813
  9. [V] L. Verardi, On groups whose non central elements have the same finite number of conjugates, Boll. U.M.I., (7) 2-A (1988), pp. 391-400. Zbl0662.20015MR966923

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