Automorphisms fixing every Normal Subgroup of a Nilpotent-by-abelian Group

Gérard Endimioni

Rendiconti del Seminario Matematico della Università di Padova (2008)

  • Volume: 120, page 73-77
  • ISSN: 0041-8994

How to cite

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Endimioni, Gérard. "Automorphisms fixing every Normal Subgroup of a Nilpotent-by-abelian Group." Rendiconti del Seminario Matematico della Università di Padova 120 (2008): 73-77. <http://eudml.org/doc/108748>.

@article{Endimioni2008,
author = {Endimioni, Gérard},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {nilpotent-by-Abelian groups; automorphisms; automorphism groups},
language = {eng},
pages = {73-77},
publisher = {Seminario Matematico of the University of Padua},
title = {Automorphisms fixing every Normal Subgroup of a Nilpotent-by-abelian Group},
url = {http://eudml.org/doc/108748},
volume = {120},
year = {2008},
}

TY - JOUR
AU - Endimioni, Gérard
TI - Automorphisms fixing every Normal Subgroup of a Nilpotent-by-abelian Group
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2008
PB - Seminario Matematico of the University of Padua
VL - 120
SP - 73
EP - 77
LA - eng
KW - nilpotent-by-Abelian groups; automorphisms; automorphism groups
UR - http://eudml.org/doc/108748
ER -

References

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  1. [1] C. D. H. COOPER, Power automorphisms of a group, Math. Z., 107 (1968), pp. 335-356. Zbl0169.33801MR236253
  2. [2] G. ENDIMIONI, Pointwise inner automorphisms in a free nilpotent group, Quart. J. Math., 53 (2002), pp. 397-402. Zbl1060.20025MR1949151
  3. [3] G. ENDIMIONI, Normal automorphisms of a free metabelian nilpotent group, http://arxiv.org/abs/math.GR/0612347. Zbl1187.20043
  4. [4] S. FRANCIOSI and F. DE GIOVANNI, On automorphisms fixing normal subgroups of nilpotent groups, Boll. Un. Mat. Ital. B, 7 (1987), pp. 1161-1170. Zbl0635.20014MR923446
  5. [5] A. LUBOTZKY, Normal automorphisms of free groups, J. Algebra, 63 (1980), pp. 494-498. Zbl0432.20025MR570726
  6. [6] D. J. S. ROBINSON, A course in the theory of groups, Springer-Verlag, 1982. Zbl0483.20001MR648604
  7. [7] D. J. S. ROBINSON, Automorphisms fixing every subnormal subgroup of a finite group, Arch. Math., 64 (1995), pp. 1-4. Zbl0813.20021MR1305651
  8. [8] D. SEGAL, Polycyclic groups, Cambridge University Press, 1983. Zbl0516.20001MR713786

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