The structure of transitive ordered permutation groups

Zhu, Zuo-Tong; Huang Zhenyu

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 4, page 811-815
  • ISSN: 0011-4642

Abstract

top
We give some necessary and sufficient conditions for transitive l -permutation groups to be 2 -transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive l -permutation groups to be normal-valued.

How to cite

top

Zhu, Zuo-Tong, and Zhenyu, Huang. "The structure of transitive ordered permutation groups." Czechoslovak Mathematical Journal 49.4 (1999): 811-815. <http://eudml.org/doc/30524>.

@article{Zhu1999,
abstract = {We give some necessary and sufficient conditions for transitive $l$-permutation groups to be $2$-transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive $l$-permutation groups to be normal-valued.},
author = {Zhu, Zuo-Tong, Zhenyu, Huang},
journal = {Czechoslovak Mathematical Journal},
keywords = {transitive $l$-permutation group; stabilizer subgroup; primitive component; normal-valued $l$-group; transitive -permutation group; stabilizer subgroup; primitive component; normal-valued -group},
language = {eng},
number = {4},
pages = {811-815},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The structure of transitive ordered permutation groups},
url = {http://eudml.org/doc/30524},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Zhu, Zuo-Tong
AU - Zhenyu, Huang
TI - The structure of transitive ordered permutation groups
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 4
SP - 811
EP - 815
AB - We give some necessary and sufficient conditions for transitive $l$-permutation groups to be $2$-transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive $l$-permutation groups to be normal-valued.
LA - eng
KW - transitive $l$-permutation group; stabilizer subgroup; primitive component; normal-valued $l$-group; transitive -permutation group; stabilizer subgroup; primitive component; normal-valued -group
UR - http://eudml.org/doc/30524
ER -

References

top
  1. 10.1007/BF01111722, Math. Zeit. 87 (1965), 420–433; MR31 (1966), # 2310. Zbl0147.01204MR0178052DOI10.1007/BF01111722
  2. Ordered Permutation Groups, Cambridge University Press, 1981, pp. 76–116. (1981) Zbl0473.06010MR0645351
  3. Stability of l -permutation groups, J. of Nanjing Uni. Math. Biquarterly 11, No. 1 (1994), 18–21. (1994) MR1293882
  4. Lattice-Ordered Groups, D. Reidel Publishing Company, Dordrecht, Holland, 1988, pp. 29–31. (1988) MR0937703
  5. Congruent pairs on a set, Chinese Quarterly Journal of Math. 9, No. 3 (1994), 37–41. (1994) 
  6. 10.1007/BF02485831, Algebra Universalis 6 (1976), 229–255. (1976) MR0424638DOI10.1007/BF02485831
  7. Elementary types of automorphisms of linearly ordered sets—a survey, Algebra, Carbondale 1980, R.K. Amayo (ed.), Springer, Lecture Notes No. 848, pp. 218–229. Zbl0466.06016MR0613188
  8. The structure of ordered permutation groups applied to lattice-ordered groups, Notices Amer. Math. Soc., 21 (1974), February, # 712–714, PA336. 
  9. The universal mapping problems of the l -group category, Chinese Journal of Math. 23, No. 2 (1995), 131–140. (1995) MR1340760
  10. Lattice-Ordered Groups, Kluwer Academic Publishers, 1989, pp. 23–40. (1989) MR1036072

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.