On the Fixed-Point Set and Commutator Subgroup of an Automorphism of a Group of Finite Rank

B. A. F. Wehrfritz

Rendiconti del Seminario Matematico della Università di Padova (2012)

  • Volume: 127, page 249-256
  • ISSN: 0041-8994

How to cite

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Wehrfritz, B. A. F.. "On the Fixed-Point Set and Commutator Subgroup of an Automorphism of a Group of Finite Rank." Rendiconti del Seminario Matematico della Università di Padova 127 (2012): 249-256. <http://eudml.org/doc/275114>.

@article{Wehrfritz2012,
author = {Wehrfritz, B. A. F.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {almost fixed-point-free automorphisms; Hirsch numbers; FAR-groups; finiteness conditions; soluble groups; polycyclic groups; rank restrictions},
language = {eng},
pages = {249-256},
publisher = {Seminario Matematico of the University of Padua},
title = {On the Fixed-Point Set and Commutator Subgroup of an Automorphism of a Group of Finite Rank},
url = {http://eudml.org/doc/275114},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Wehrfritz, B. A. F.
TI - On the Fixed-Point Set and Commutator Subgroup of an Automorphism of a Group of Finite Rank
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2012
PB - Seminario Matematico of the University of Padua
VL - 127
SP - 249
EP - 256
LA - eng
KW - almost fixed-point-free automorphisms; Hirsch numbers; FAR-groups; finiteness conditions; soluble groups; polycyclic groups; rank restrictions
UR - http://eudml.org/doc/275114
ER -

References

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  1. [1] G. Endimioni - P. Moravec, On the centralizer and the commutator subgroup of an automorphism, Monatsh. Math., to appear. Zbl1270.20031MR2954523
  2. [2] O. H. Kegel - B. A. F. Wehrfritz, Locally Finite Groups, North Holland Pub. Co., Amsterdam 1973. Zbl0259.20001MR470081
  3. [3] D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups (2 vols.), Springer-Verlag, Berlin 1972. Zbl0243.20033
  4. [4] B. A. F. Wehrfritz, Almost fixed-point-free automorphisms of soluble groups, J. Pure & Appl. Algebra, 215 (2011), pp. 1112–1115. Zbl1215.20030MR2747243
  5. [5] B. A. F. Wehrfritz, Almost fixed-point-free automorphisms of order 2, Rend. Circ. Mat. Palermo, 60 (2011), pp. 365–370. Zbl1253.20025MR2861019
  6. [6] B. A. F. Wehrfritz, Almost fixed-point-free automorphisms of prime order, Cent. Eur. J. Math.9 (2011), pp. 616-626. Zbl1245.20037MR2784033

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