On the derived length of parasoluble groups

Alessio Russo

Bollettino dell'Unione Matematica Italiana (2003)

  • Volume: 6-B, Issue: 1, page 237-244
  • ISSN: 0392-4041

Abstract

top
In this paper groups are considered inducing groups of power automorphisms on each factor of their derived series. In particular, it is proved that soluble groups with such property have derived length at most 3, and that this bound is best possible.

How to cite

top

Russo, Alessio. "On the derived length of parasoluble groups." Bollettino dell'Unione Matematica Italiana 6-B.1 (2003): 237-244. <http://eudml.org/doc/195283>.

@article{Russo2003,
abstract = {In this paper groups are considered inducing groups of power automorphisms on each factor of their derived series. In particular, it is proved that soluble groups with such property have derived length at most 3, and that this bound is best possible.},
author = {Russo, Alessio},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {groups of power automorphisms; derived series; strongly parasoluble groups; derived lengths},
language = {eng},
month = {2},
number = {1},
pages = {237-244},
publisher = {Unione Matematica Italiana},
title = {On the derived length of parasoluble groups},
url = {http://eudml.org/doc/195283},
volume = {6-B},
year = {2003},
}

TY - JOUR
AU - Russo, Alessio
TI - On the derived length of parasoluble groups
JO - Bollettino dell'Unione Matematica Italiana
DA - 2003/2//
PB - Unione Matematica Italiana
VL - 6-B
IS - 1
SP - 237
EP - 244
AB - In this paper groups are considered inducing groups of power automorphisms on each factor of their derived series. In particular, it is proved that soluble groups with such property have derived length at most 3, and that this bound is best possible.
LA - eng
KW - groups of power automorphisms; derived series; strongly parasoluble groups; derived lengths
UR - http://eudml.org/doc/195283
ER -

References

top
  1. COOPER, C. D. H., Power automorphisms of a group, Math. Z., 107 (1968), 335-356. Zbl0169.33801MR236253
  2. FRANCIOSI, S.- DE GIOVANNI, F., Groups with many supersoluble subgroups, Ricerche Mat., 40 (1991), 321-333. Zbl0818.20041MR1194163
  3. ROBINSON, D. J. S., Groups in which normality is a transitive relation, Proc. Cambridge Philos. Soc., 60 (1964), 21-38. Zbl0123.24901MR159885
  4. ROBINSON, D. J. S., Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin (1972). Zbl0243.20033
  5. WEHRFRITZ, B. A. F., Infinite Linear Groups, Springer, Berlin (1973). Zbl0261.20038MR335656
  6. WEIDIG, I., Gruppen mit abgeschwächter Normalteilertransitivität, Rend. Sem. Mat. Univ. Padova, 36 (1966), 185-215. Zbl0136.28301MR202845

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.