Intersection graphs of subgroups of finite groups
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 945-950

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR   Zbl

In this paper we classify finite groups with disconnected intersection graphs of subgroups. This solves a problem posed by Csákány and Pollák.
In this paper we classify finite groups with disconnected intersection graphs of subgroups. This solves a problem posed by Csákány and Pollák.
Classification : 20D06, 20D60
Keywords: intersection graphs; finite groups; subgroups
Shen, Rulin. Intersection graphs of subgroups of finite groups. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 945-950. http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a4/
@article{CMJ_2010_60_4_a4,
     author = {Shen, Rulin},
     title = {Intersection graphs of subgroups of finite groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {945--950},
     year = {2010},
     volume = {60},
     number = {4},
     mrnumber = {2738958},
     zbl = {1208.20022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a4/}
}
TY  - JOUR
AU  - Shen, Rulin
TI  - Intersection graphs of subgroups of finite groups
JO  - Czechoslovak Mathematical Journal
PY  - 2010
SP  - 945
EP  - 950
VL  - 60
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a4/
LA  - en
ID  - CMJ_2010_60_4_a4
ER  - 
%0 Journal Article
%A Shen, Rulin
%T Intersection graphs of subgroups of finite groups
%J Czechoslovak Mathematical Journal
%D 2010
%P 945-950
%V 60
%N 4
%U http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a4/
%G en
%F CMJ_2010_60_4_a4

[1] Aschbacher, M.: On the maximal subgroups of the finite classical groups. Invent. Math. 76 (1984), 469-514. | DOI | MR | Zbl

[2] Bosák, J.: The graphs of semigroups. Theory Graphs Appl., Proc. Symp. Smolenice 1963 (1964), 119-125. | MR

[3] Carter, R.: Simple Groups of Lie Type. Wiley London (1972). | MR | Zbl

[4] Chakrabarty, I., Ghosh, S., Mukherjee, T. K., Sen, M. K.: Intersection graphs of ideals of rings. Electronic Notes in Discrete Mathematics 23 (2005), 23-32. | DOI | MR | Zbl

[5] Csákéany, B., Pollák, G.: The graph of subgroups of a finite group. Czechoslovak Math. J. 19 (1969), 241-247. | MR

[6] Kondrat'ev, A. S.: Prime graph components of finite simple groups. Math. USSR Sb. 67 (1989), 235-247. | DOI | MR | Zbl

[7] Robinson, D. J. S.: A Course in the Theory of Groups. Springer New York-Heidelberg-Berlin (1982). | MR | Zbl

[8] Williams, J. S.: Prime graph components of finite groups. J. Algebra 69 (1981), 487-513. | DOI | MR | Zbl

[9] Zelinka, B.: Intersection graphs of finite abelian groups. Czech. Math. J. 25 (1975), 171-174. | MR | Zbl