Groups with a small covering number
The covering number of a group G is the smallest integer k, such that Ck=G for all nonidentity conjugacy classes C of G. If no such integer exists, the covering number is defined to be ω, the smallest infinite ordinal. In this article the frequency of groups with covering number equal to two is studied. While such finite groups are rare, there are many natural examples of such infinite groups.
KeywordsFinite Group Conjugacy Class Simple Group Chevalley Group Character Table
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