On group automorphisms fixing subnormal subgroups setwise

Ulderico Dardano; Clara Franchi

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 3, page 811-820
  • ISSN: 0392-4041

How to cite

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Dardano, Ulderico, and Franchi, Clara. "On group automorphisms fixing subnormal subgroups setwise." Bollettino dell'Unione Matematica Italiana 3-B.3 (2000): 811-820. <http://eudml.org/doc/194713>.

@article{Dardano2000,
author = {Dardano, Ulderico, Franchi, Clara},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {automorphisms; subnormal subgroups; automorphism groups; soluble groups; Fitting subgroups},
language = {eng},
month = {10},
number = {3},
pages = {811-820},
publisher = {Unione Matematica Italiana},
title = {On group automorphisms fixing subnormal subgroups setwise},
url = {http://eudml.org/doc/194713},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Dardano, Ulderico
AU - Franchi, Clara
TI - On group automorphisms fixing subnormal subgroups setwise
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/10//
PB - Unione Matematica Italiana
VL - 3-B
IS - 3
SP - 811
EP - 820
LA - eng
KW - automorphisms; subnormal subgroups; automorphism groups; soluble groups; Fitting subgroups
UR - http://eudml.org/doc/194713
ER -

References

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  1. BRYCE, R. A., Subgroups like Wielandt's in finite soluble groups, Math. Proc. Camb. Phil. Soc., 107 (1990), 239-259. Zbl0711.20011MR1027777
  2. COOPER, C. D. H., Power automorphisms of a group, Math. Z., 107 (1968), 335-356. Zbl0169.33801MR236253
  3. COSSEY, J., Automorphisms fixing every subnormal subgroup of a finite group, Glasgow Math. J., 39 (1997), 111-114. Zbl0870.20019MR1439610
  4. DALLE MOLLE, M., Sugli automorfismi che fissano i sottogruppi subnormali di un gruppo risolubile, Boll. Un. Mat. Ital., B(7), 9-A (1995), 483-491. Zbl0851.20033MR1363548
  5. DARDANO, U.- FRANCHI, C., On groups paralyzing a subgroup series, to appear on Rend. Circ. Mat. Palermo. Zbl1008.20025
  6. DOERK, K.- HAWKES, T., Finite soluble groups, De Gruyter expositions in mathematics, 4, Walter de Gruyter, Berlin, New York, 1992. Zbl0753.20001MR1169099
  7. FRANCIOSI, S.- DE GIOVANNI, F., On automorphisms fixing normal subgroups of nilpotent groups, Boll. Un. Mat. Ital., B(7), 1 (1987), 1161-1170. Zbl0635.20014MR923446
  8. FRANCIOSI, S.- DE GIOVANNI, F., On automorphisms fixing subnormal subgroups of soluble groups, Atti Acc. Naz. Linc. Rend. Cl. Sci. Fis. Mat. Nat. (8), 82 (1988), 217-222. Zbl0719.20015MR1152643
  9. ROBINSON, D. J. S., A Course in the Theory of Groups, Springer V., Berlin, 1982. Zbl0483.20001MR648604
  10. ROBINSON, D. J. S., Automorphisms fixing every subnormal subgroup of a finite group, Arch. Math., 64 (1995), 1-4. Zbl0813.20021MR1305651
  11. WEHRFRITZ, B. A. F., On locally supersoluble groups, J. Algebra, 43 (1976), 665-669. Zbl0345.20028MR432760

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