A NEW RESULT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP

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AHMADI HADI; TAERI BIJAN

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

A NEW RESULT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP

Author(s)

AHMADI HADI | TAERI BIJAN | Issue Writer Certificate

Keywords

SUBGROUPS GRAPH

SUBGROUPS LATTICE

INTERSECTION OF SUBGROUPS

Abstract

FOR A NON-TRIVIAL FINITE GROUP G DIFFERENT FROM A CYCLIC GROUP OF PRIME ORDER, THE INTERSECTION GRAPH G(G) OF G IS THE SIMPLE UNDIRECTED GRAPH WHOSE VERTICES ARE THE NON-TRIVIAL PROPER SUBGROUPS OF G AND TWO VERTICES ARE JOINED BY AN EDGE IF AND ONLY IF THEY HAVE A NON-TRIVIAL INTERSECTION. IN THIS PAPER WE WILL SURVEY MANY OF THE KNOWN RESULTS OF THIS GRAPH AND WE WILL PROVIDE REFERENCES TO THE LITERATURE FOR THEIR PROOFS. ALSO AS A NEW RESULT, WE CHARACTERIZE ALL FINITE GROUPS WITH PLANAR INTERSECTION GRAPHS. IT TURNS OUT THAT FEW SOLVABLE GROUPS HAVE PLANAR INTERSECTION GRAPHS.

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APA: Copy

AHMADI, HADI, & TAERI, BIJAN. (2015). A NEW RESULT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/920957/en

Vancouver: Copy

AHMADI HADI, TAERI BIJAN. A NEW RESULT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP. 2015. Available from: https://sid.ir/paper/920957/en

IEEE: Copy

HADI AHMADI, and BIJAN TAERI, “A NEW RESULT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/920957/en

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