Some questions on the number of generators of a finite group

Andrea Lucchini

Rendiconti del Seminario Matematico della Università di Padova (1990)

  • Volume: 83, page 201-222
  • ISSN: 0041-8994

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Lucchini, Andrea. "Some questions on the number of generators of a finite group." Rendiconti del Seminario Matematico della Università di Padova 83 (1990): 201-222. <http://eudml.org/doc/108180>.

@article{Lucchini1990,
author = {Lucchini, Andrea},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite group; p-Sylow subgroup; minimal number of generators; augmentation ideal; perfect},
language = {eng},
pages = {201-222},
publisher = {Seminario Matematico of the University of Padua},
title = {Some questions on the number of generators of a finite group},
url = {http://eudml.org/doc/108180},
volume = {83},
year = {1990},
}

TY - JOUR
AU - Lucchini, Andrea
TI - Some questions on the number of generators of a finite group
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1990
PB - Seminario Matematico of the University of Padua
VL - 83
SP - 201
EP - 222
LA - eng
KW - finite group; p-Sylow subgroup; minimal number of generators; augmentation ideal; perfect
UR - http://eudml.org/doc/108180
ER -

References

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  1. [1] M. Aschbacher - R. GURALNICK, Some application of the first cohomology group, J. Algebra, 90 (1984), pp. 446-460. Zbl0554.20017MR760022
  2. [2] J. Cossey - K. W. GRUENBERG - L. G. KOVÁCS, The presentation rank of a direct product of finite groups, J. Algebra, 29 (1974), pp. 597-603. Zbl0293.20033MR424969
  3. [3] K.W. Gruenberg, Relation modules of finite groups, Regional Conference Series in Math. (1976), Amer. Math. Soc. Zbl0327.20019MR457538
  4. [4] K.W. Gruenberg, Groups of non zero presentation rank, Symposia Math., 17 (1976), pp. 215-224. Zbl0358.20045MR412298
  5. [5] R. Guralnick, Generation of simple groups, J. Algebra, 103 (1986), pp. 381-401. Zbl0601.20013MR860714
  6. [6] B. Huppert, Endlichen Gruppen, Berlin-Heidelberg -New York, 1967. Zbl0217.07201
  7. [7] W. Kimmerle - J. Williams, On minimal relation modules and 1-cohomology of finite groups, Archiv der Mathematik, 42 (1984), pp. 214-223. Zbl0553.20003MR751498
  8. [8] W. Kimmerle, On the generation gap of a finite group, J. Pure Appl. Alg., 36 (1985), pp. 253-271. Zbl0594.20004MR790617
  9. [9] A. Lucchini, A bound on the number of generators of a finite group, Archiv. der Mathematik, 53 (1989), pp. 313-317. Zbl0679.20028MR1015993
  10. [10] K.W. Roggenkamp, Integral representations and presentations of finite groups, Lecture Notes in Math., 744, Springer, Berlin, 1979. Zbl0431.20001MR549035
  11. [11] K.W. Roggenkamp, Relation modules of finite groups and related topics, Algebra i Logika, 12 (1973), pp. 351-359. Zbl0286.20045MR387391

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