Some simple groups which are determined by the set of their character degrees. II

Bertram Huppert

Rendiconti del Seminario Matematico della Università di Padova (2006)

  • Volume: 115, page 1-13
  • ISSN: 0041-8994

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Huppert, Bertram. "Some simple groups which are determined by the set of their character degrees. II." Rendiconti del Seminario Matematico della Università di Padova 115 (2006): 1-13. <http://eudml.org/doc/108677>.

@article{Huppert2006,
author = {Huppert, Bertram},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {degrees of irreducible complex characters; finite simple groups; character tables; projective special linear groups; Suzuki groups; character degrees},
language = {eng},
pages = {1-13},
publisher = {Seminario Matematico of the University of Padua},
title = {Some simple groups which are determined by the set of their character degrees. II},
url = {http://eudml.org/doc/108677},
volume = {115},
year = {2006},
}

TY - JOUR
AU - Huppert, Bertram
TI - Some simple groups which are determined by the set of their character degrees. II
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2006
PB - Seminario Matematico of the University of Padua
VL - 115
SP - 1
EP - 13
LA - eng
KW - degrees of irreducible complex characters; finite simple groups; character tables; projective special linear groups; Suzuki groups; character degrees
UR - http://eudml.org/doc/108677
ER -

References

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  1. [1] R.W. CARTER, Finite groups of Lie type. Wiley - Interscience, New York 1985. Zbl0567.20023MR794307
  2. [2] C.W. CURTIS, N. IWAHORI, R. KILMOYER, Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs. Inst. Hautes Études Sci. Publ. Math. No. 40 (1971), pp. 81-116. Zbl0254.20004MR347996
  3. [3] L. DORNHOFF, Group Representation Theory, Marcel Dekker 1971. Zbl0227.20002MR347959
  4. [4] W. FEIT, G.M. SEITZ, On finite rational groups. Illinois J. Math. 33 (1988), pp. 103-131. Zbl0701.20005MR974014
  5. [5] J.S. FRAME, W.A. SIMPSON, The character tables for SL(3, q), SU(3, q2 ), PSL(3, q), PSU(3, q2 ). Canadian J. Math. 25 (1973), pp. 486-494. Zbl0264.20010MR335618
  6. [6] B. HUPPERT, Endliche Gruppen I, Springer 1967. Zbl0217.07201MR224703
  7. [7] B. HUPPERT, Some simple groups which are determined by the set of their character degrees I. Illinois J. Math. 44 (2000), pp. 828-842. Zbl0972.20006MR1804317
  8. [8] I.M. ISAACS, Character theory of finite groups, Academic Press, 1976. Zbl0337.20005MR460423
  9. [9] M. KLEMM, Charakterisierung der Gruppen PSL(2, p f ) und PSU(3, p2f ) durch ihre Charaktertafel. J. Algebra, 24 (1973), pp. 127-153. Zbl0249.20023MR315005
  10. [10] G. MALLE, A. ZALESKIǏ, Prime power degree representations of quasi-simple groups, Arch. Math., 77 (2001), pp. 461-468. Zbl0996.20006MR1879049
  11. [11] M. SUZUKI, On a class of doubly transitive groups, Ann. Math., 75 (1962), pp. 105-145. Zbl0106.24702MR136646
  12. [12] H.N. WARD, On Ree's series of simple groups. Trans. Amer. Math. Soc., 121 (1966), pp. 62-89. Zbl0139.24902MR197587

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