Complements of the socle in almost simple groups

A. Lucchini; F. Menegazzo; M. Morigi

Rendiconti del Seminario Matematico della Università di Padova (2004)

  • Volume: 112, page 141-163
  • ISSN: 0041-8994

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Lucchini, A., Menegazzo, F., and Morigi, M.. "Complements of the socle in almost simple groups." Rendiconti del Seminario Matematico della Università di Padova 112 (2004): 141-163. <http://eudml.org/doc/108640>.

@article{Lucchini2004,
author = {Lucchini, A., Menegazzo, F., Morigi, M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite groups; minimal normal subgroups; conjugacy classes of complements; numbers of conjugacy classes; almost simple groups},
language = {eng},
pages = {141-163},
publisher = {Seminario Matematico of the University of Padua},
title = {Complements of the socle in almost simple groups},
url = {http://eudml.org/doc/108640},
volume = {112},
year = {2004},
}

TY - JOUR
AU - Lucchini, A.
AU - Menegazzo, F.
AU - Morigi, M.
TI - Complements of the socle in almost simple groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2004
PB - Seminario Matematico of the University of Padua
VL - 112
SP - 141
EP - 163
LA - eng
KW - finite groups; minimal normal subgroups; conjugacy classes of complements; numbers of conjugacy classes; almost simple groups
UR - http://eudml.org/doc/108640
ER -

References

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  1. [1] M. ASCHBACHER - R. GURALNICK, Some applications of the first cohomology group, J. Algebra, 90 (1984), pp. 446-460. Zbl0554.20017MR760022
  2. [2] R. W. CARTER, Finite groups of Lie type. Conjugacy classes and complex characters. Pure and Applied Mathematics. A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1985. Zbl0567.20023MR794307
  3. [3] J. DIEUDONNÉ, La géométrie des groupes classiques, Seconde édition, revue et corrigée. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. Zbl0111.03102MR158011
  4. [4] D. GORENSTEIN - R. LYONS - R. SOLOMON, The Classification of the finite simple groups. Number 3. Mathematical Surveys and Monographs, 40.3. American Mathematical Society, Providence, RI, 1998. Zbl0816.20016MR1490581
  5. [5] N. JACOBSON, The Theory of Rings. American Mathematical Society Mathematical Surveys, vol. I. American Mathematical Society, New York, 1943. Zbl0060.07302MR8601
  6. [6] F. GROSS - L. G. KOVÁCS, On normal subgroups which are direct products, J. Algebra, 90 (1984), pp. 133-168. Zbl0594.20018MR757086
  7. [7] P. KLEIDMAN - M. LIEBECK, The subgroup structure of the finite classical groups. London Mathematical Society Lecture Note Series, 129. Cambridge University Press, Cambridge, 1990. Zbl0697.20004MR1057341
  8. [8] A. LUCCHINI - F. MENEGAZZO, Generators for finite groups with a unique minimal normal subgroup, Rend. Sem. Mat. Univ. Padova, 98 (1997), pp. 173-191. Zbl0895.20027MR1492976
  9. [9] A. LUCCHINI - F. MORINI, On the probability of generating finite groups with a unique minimal normal subgroup, Pacific J. Math., 203 (2002), pp. 429-440. Zbl1064.20072MR1897908
  10. [10] G. E. WALL, On the conjugacy classes in the unitary, symplectic and orthogonal groups, J. Australian Math. Soc., 3 (1965), pp. 1-62. Zbl0122.28102MR150210

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