Gruppi finiti i cui sottogruppi sono o subnormali o pronormali

Pierantonio Legovini

Rendiconti del Seminario Matematico della Università di Padova (1977)

  • Volume: 58, page 129-147
  • ISSN: 0041-8994

How to cite

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Legovini, Pierantonio. "Gruppi finiti i cui sottogruppi sono o subnormali o pronormali." Rendiconti del Seminario Matematico della Università di Padova 58 (1977): 129-147. <http://eudml.org/doc/107649>.

@article{Legovini1977,
author = {Legovini, Pierantonio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {subnormal subgroups; pronormal subgroups; Fitting length; Sylow towers; Carter subgroups},
language = {ita},
pages = {129-147},
publisher = {Seminario Matematico of the University of Padua},
title = {Gruppi finiti i cui sottogruppi sono o subnormali o pronormali},
url = {http://eudml.org/doc/107649},
volume = {58},
year = {1977},
}

TY - JOUR
AU - Legovini, Pierantonio
TI - Gruppi finiti i cui sottogruppi sono o subnormali o pronormali
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1977
PB - Seminario Matematico of the University of Padua
VL - 58
SP - 129
EP - 147
LA - ita
KW - subnormal subgroups; pronormal subgroups; Fitting length; Sylow towers; Carter subgroups
UR - http://eudml.org/doc/107649
ER -

References

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  1. [1] J.L. Alperin, Normalizers of system normalizers, Trans. Am. Math. Soc.113 (1964) 181-188. Zbl0123.02502MR172914
  2. [2] R.W. Carter, On a class of finite soluble groups, Proc. London Math. Soc. (3) 9 (1959) 623-640. Zbl0168.27205MR114859
  3. [3] R.W. Carter, Nilpotent self-normalizing subgroups of soluble groups, Math. Zeit.75 (1961) 136-139. Zbl0168.27301MR123603
  4. [4] R.W. Carter, Nilpotent self-normalizing subgroups and system normadizers, Proc. London Math. Soc. (3) 12 (1962) 535-563. Zbl0106.24602MR140570
  5. [5] R.W. Carter, Normal complements of nilpotent self-normalizing subgroups, Math. Zeit.78 (1962) 149-150. Zbl0100.02704MR142652
  6. [6] G. Ebert S. Bauman, Abnormal chains in finite soluble groups, Jour. Alg.36 (1975) 287-293. Zbl0314.20019MR412271
  7. [7] W. Gaschütz, Gruppen in denen das Normalteilersein transitiv ist, Jour. fur Math., Bd 198, Heft 2 (1957) 87-92. Zbl0077.25003MR91277
  8. [8] D. Gorenstein, Finite groups, Harper & Row (1968). Zbl0185.05701MR231903
  9. [9] D. Gorenstein, Finite groups which admit an automorphism with few orbits, Canad. Jour. Math.12 (1960) 73-100. Zbl0244.20015MR109182
  10. [10] B. Huppert, Endliche gruppenI, Springer Verlag (1967). Zbl0217.07201MR224703
  11. [11] N. Jacobson, Basic algebra1, Freeman (1974). Zbl0284.16001MR356989
  12. [12] A. Mann, System normalizers and subnormalizers, Proc. London Math. Soc. (3) 20 (1970) 123-143. Zbl0214.04402MR257224
  13. [13] A. Mann, A criterion for pronormality, Jour. London Math. Soc.44 (1969) 175-176. Zbl0165.34003MR238954
  14. [14] T.A. Peng, Finite groups with pronormal subgroups, Proc. Amer. Math. Soc.20 (1969) 232-234. Zbl0167.02302MR232850
  15. [15] L. Rédei, Das schiefe Produkt in der Gruppentheorie, Comm. Math. Helvetici20 (1947) 225-264. Zbl0035.01503MR21933
  16. [16] J.S. Rose, Finite soluble groups with pronormal system normalizers, Proc. London Math. Soc. (3) 17 (1967) 447-469. Zbl0153.03602MR212092
  17. [17] H. Wielandt, Kriterien für subnormalität in endlichen Gruppen, Math. Zeit.138 (1974) 199-203. Zbl0275.20041MR357604

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