Conjugacy class lengths of metanilpotent groups

Carlo Casolo; Silvio Dolfi

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 96, page 121-130
  • ISSN: 0041-8994

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Casolo, Carlo, and Dolfi, Silvio. "Conjugacy class lengths of metanilpotent groups." Rendiconti del Seminario Matematico della Università di Padova 96 (1996): 121-130. <http://eudml.org/doc/108403>.

@article{Casolo1996,
author = {Casolo, Carlo, Dolfi, Silvio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {conjugacy classes; finite groups; soluble groups; finite metanilpotent groups; supersoluble metabelian groups},
language = {eng},
pages = {121-130},
publisher = {Seminario Matematico of the University of Padua},
title = {Conjugacy class lengths of metanilpotent groups},
url = {http://eudml.org/doc/108403},
volume = {96},
year = {1996},
}

TY - JOUR
AU - Casolo, Carlo
AU - Dolfi, Silvio
TI - Conjugacy class lengths of metanilpotent groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 96
SP - 121
EP - 130
LA - eng
KW - conjugacy classes; finite groups; soluble groups; finite metanilpotent groups; supersoluble metabelian groups
UR - http://eudml.org/doc/108403
ER -

References

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  1. [1] D. Alvis - M. BARRY, Characters degrees of simple groups, J. Algebra, 140 (1991), pp. 116-123. Zbl0736.20005MR1114908
  2. [2] D. Alvis - M. BARRY, Class covering numbers of finite simple groups, J. Algebra, 162 (1993), pp. 410-414. Zbl0804.20008MR1254784
  3. [3] C. Casolo, Prime divisors of conjugacy class lengths in finite groups, Rend. Mat. Acc. Lincei, ser. 9, 2 (1991), pp. 111-113. Zbl0743.20018MR1120130
  4. [4] C. Casolo, Finite groups with small conjugacy classes, Manuscr. Math., 82 (1994), pp. 171-189. Zbl0819.20024MR1256158
  5. [5] D. Chillag - M. HERZOG, On the length of the conjugacy classes in finite groups, J. Algebra, 131 (1990), pp. 110-125. Zbl0694.20015MR1055001
  6. [6] S. Dolfi, Arithmetical conditions on the length of the conjugacy classes in finite groups, J. Algebra, 174 (1995), pp. 753-771. Zbl0837.20031MR1337169
  7. [7] P. Ferguson, Connections between prime divisors of conjugacy classes and prime divisors of IGI, J. Algebra, 143 (1991), pp. 25-28. Zbl0735.20011MR1128643
  8. [8] P. Ferguson, Connections between prime factors of conjugacy classes of finite solvable groups, Proc. amer. Math. Soc., 113 (1991), pp. 319-323. Zbl0743.20011MR1049135
  9. [9] P. Ferguson, Lengths of conjugacy classes of finite solvable groups, J. Algebra, 146 (1992), pp. 77-84. Zbl0798.20013MR1152431
  10. [10] P. Ferguson, Lengths of conjugacy classes of finite solvable groups, II, J. Algebra, 154 (1993), pp. 223-227. Zbl0798.20014MR1201921
  11. [11] D. Gluck, A conjecture about character degrees of solvable groups, J. Algebra, 140 (1991), pp. 26-35. Zbl0736.20006MR1114902
  12. [12] D. Gluck - O. MANZ, Prime factors of character degrees of solvable groups, Bull. London Math. Soc., 19 (1987), pp. 431-437. Zbl0627.20007MR898721
  13. [13] O. Manz, Endliche auflösbare Gruppen, deren sämtliche charaktergrade Primzhalpotenzen sind, J. Algebra, 94 (1985), pp. 211-255. Zbl0596.20007MR789547
  14. [14] O. Manz - T. WOLF, Arithmetically long orbits of solvable linear groups, Illinois J. Math., 37 (1993), pp. 652-665. Zbl0832.20005MR1226789
  15. [15] O. Manz - T. Wolf, Representation Theory of Solvable Groups, Cambridge (1993). 

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