Conjugate π -normally embedded fitting functors

James C. Beidleman; M. Pilar Gallego

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 80, page 65-82
  • ISSN: 0041-8994

How to cite

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Beidleman, James C., and Pilar Gallego, M.. "Conjugate $\pi $-normally embedded fitting functors." Rendiconti del Seminario Matematico della Università di Padova 80 (1988): 65-82. <http://eudml.org/doc/108127>.

@article{Beidleman1988,
author = {Beidleman, James C., Pilar Gallego, M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite soluble groups; normal embedding; Fitting classes; -normally embedded subgroups; Hall -subgroup; conjugate -normally embedded Fitting functors},
language = {eng},
pages = {65-82},
publisher = {Seminario Matematico of the University of Padua},
title = {Conjugate $\pi $-normally embedded fitting functors},
url = {http://eudml.org/doc/108127},
volume = {80},
year = {1988},
}

TY - JOUR
AU - Beidleman, James C.
AU - Pilar Gallego, M.
TI - Conjugate $\pi $-normally embedded fitting functors
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 80
SP - 65
EP - 82
LA - eng
KW - finite soluble groups; normal embedding; Fitting classes; -normally embedded subgroups; Hall -subgroup; conjugate -normally embedded Fitting functors
UR - http://eudml.org/doc/108127
ER -

References

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  1. [1] J.C. Beidleman - B. Brewster, Strict normality in Fitting classes I, J. Algebra, 51 (1978), pp. 211-217. Zbl0381.20016MR486113
  2. [2] J.C. Beidleman - B. Brewster, Strict normality in Fitting classes III, Comm. in Algebra, 10 (7) (1982), pp. 741-766. Zbl0487.20012MR650870
  3. [3] J.C. Beidleman - B. Brewster - P. Hauck, Fittingfunktoren in endlichen auflösbaren Gruppen I, Math. Z., 182 (1983), pp. 359-384. Zbl0518.20014MR696533
  4. [4] J.C. Beidleman - B. Brewster - P. Hauck, Fitting functors in finite solvable groups II, Math. Proc. Camb. Phil. Soc., 101 (1987), pp. 37-55. Zbl0632.20013MR877699
  5. [5] G. Chambers, p-normally embedded subgroups of finite soluble groups, J. Algebra, 16 (1970), pp. 442-455. Zbl0232.20021MR268275
  6. [6] R.S. Dark, Some examples in the theory of injectors of finite soluble groups, Math. Z., 127 (1972), pp. 145-156. Zbl0226.20013MR314964
  7. [7] K. Doerk - M. Porta, Über Vertauschbarkeit, normale Einbettung und Dominanz bei Fittingklassen endlicher auflösbarer Gruppen, Arch. Math., 35 (1980), pp. 319-327. Zbl0447.20019MR602574
  8. [8] M.P. Gállego, The radical of the Fitting class defined by a Fitting functor and a set of primes, Arch. Math., 48 (1987), pp. 36-39. Zbl0592.20024MR878005
  9. [9] P. Hall, On the Sylow systems of a soluble group, Proc. London Math. Soc., 43 (1937), pp. 316-323. Zbl63.0069.04JFM63.0069.04
  10. [10] B. Hartley, On Fischer's dualization of formation theory, Proc. London Math. Soc., 19 (3) (1969), pp. 193-207. Zbl0169.34201MR244381
  11. [11] F.P. Lockett, On the theory of Fitting classes of finite soluble groups, Math. Z., 131 (1973), pp. 103-115. Zbl0243.20015MR318300

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