Model
Digital Document
Publisher
Florida Atlantic University
Description
Any group with a finite noncyclic homomorphic image is a finite union of proper subgroups. Given such
a group G, we define the covering number of G to be the least positive integer m such that G is the
union of m proper subgroups. We present recent results on the determination of the covering numbers
of the alternating groups on nine and eleven letters.
a group G, we define the covering number of G to be the least positive integer m such that G is the
union of m proper subgroups. We present recent results on the determination of the covering numbers
of the alternating groups on nine and eleven letters.
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