# Intersection graphs of subgroups of finite groups

Czechoslovak Mathematical Journal (2010)

- Volume: 60, Issue: 4, page 945-950
- ISSN: 0011-4642

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topShen, Rulin. "Intersection graphs of subgroups of finite groups." Czechoslovak Mathematical Journal 60.4 (2010): 945-950. <http://eudml.org/doc/196511>.

@article{Shen2010,

abstract = {In this paper we classify finite groups with disconnected intersection graphs of subgroups. This solves a problem posed by Csákány and Pollák.},

author = {Shen, Rulin},

journal = {Czechoslovak Mathematical Journal},

keywords = {intersection graphs; finite groups; subgroups; intersection graphs of subgroups; finite groups; simple groups of Lie type; sporadic simple groups; disconnected graphs},

language = {eng},

number = {4},

pages = {945-950},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Intersection graphs of subgroups of finite groups},

url = {http://eudml.org/doc/196511},

volume = {60},

year = {2010},

}

TY - JOUR

AU - Shen, Rulin

TI - Intersection graphs of subgroups of finite groups

JO - Czechoslovak Mathematical Journal

PY - 2010

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 60

IS - 4

SP - 945

EP - 950

AB - In this paper we classify finite groups with disconnected intersection graphs of subgroups. This solves a problem posed by Csákány and Pollák.

LA - eng

KW - intersection graphs; finite groups; subgroups; intersection graphs of subgroups; finite groups; simple groups of Lie type; sporadic simple groups; disconnected graphs

UR - http://eudml.org/doc/196511

ER -

## References

top- Aschbacher, M., 10.1007/BF01388470, Invent. Math. 76 (1984), 469-514. (1984) Zbl0537.20023MR0746539DOI10.1007/BF01388470
- Bosák, J., The graphs of semigroups, Theory Graphs Appl., Proc. Symp. Smolenice 1963 (1964), 119-125. (1964) MR0173718
- Carter, R., Simple Groups of Lie Type, Wiley London (1972). (1972) Zbl0248.20015MR0407163
- Chakrabarty, I., Ghosh, S., Mukherjee, T. K., Sen, M. K., 10.1016/j.endm.2005.06.104, Electronic Notes in Discrete Mathematics 23 (2005), 23-32. (2005) Zbl1193.05086MR2303891DOI10.1016/j.endm.2005.06.104
- Csákéany, B., Pollák, G., The graph of subgroups of a finite group, Czechoslovak Math. J. 19 (1969), 241-247. (1969) MR0249328
- Kondrat'ev, A. S., 10.1070/SM1990v067n01ABEH001363, Math. USSR Sb. 67 (1989), 235-247. (1989) Zbl0691.20013MR1015040DOI10.1070/SM1990v067n01ABEH001363
- Robinson, D. J. S., A Course in the Theory of Groups, Springer New York-Heidelberg-Berlin (1982). (1982) Zbl0483.20001MR0648604
- Williams, J. S., 10.1016/0021-8693(81)90218-0, J. Algebra 69 (1981), 487-513. (1981) Zbl0471.20013MR0617092DOI10.1016/0021-8693(81)90218-0
- Zelinka, B., Intersection graphs of finite abelian groups, Czech. Math. J. 25 (1975), 171-174. (1975) Zbl0311.05119MR0372075

## Citations in EuDML Documents

top- Xuanlong Ma, On the diameter of the intersection graph of a finite simple group
- Lotf Ali Mahdavi, Yahya Talebi, Some results on the co-intersection graph of submodules of a module
- Hossein Shahsavari, Behrooz Khosravi, On the intersection graph of a finite group
- Hossein Shahsavari, Behrooz Khosravi, Characterization by intersection graph of some families of finite nonsimple groups

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