Group Theory: Graphs Related to Element Orders of Finite Groups
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چکیده
There are several graphs associated with finite groups which are currently of interest in the field. This subject of this project are graphs related to the element orders of a finite group. The best known such graph is the prime graph Γ(G) of the group G and is defined as follows. The vertices are the prime numbers dividing the order (=number of elements) of the group, and two such primes are linked by an edge if and only if their product divides the order of some element of the group.
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تاریخ انتشار 2011