# 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 (2012)

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

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topWehrfritz, 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

top- [1] G. Endimioni - P. Moravec, On the centralizer and the commutator subgroup of an automorphism, Monatsh. Math., to appear. Zbl1270.20031MR2954523
- [2] O. H. Kegel - B. A. F. Wehrfritz, Locally Finite Groups, North Holland Pub. Co., Amsterdam 1973. Zbl0259.20001MR470081
- [3] D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups (2 vols.), Springer-Verlag, Berlin 1972. Zbl0243.20033
- [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] B. A. F. Wehrfritz, Almost fixed-point-free automorphisms of order 2, Rend. Circ. Mat. Palermo, 60 (2011), pp. 365–370. Zbl1253.20025MR2861019
- [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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