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- W1987052313 abstract "Abstract The product of two subsets C, D of a group is defined as . The power C e is defined inductively by C 0 = {1}, C e = CC e−1 = C e−1 C . It is known that in the alternating group A n , n > 4, there is a conjugacy class C such that CC covers A n . On the other hand, there is a conjugacy class D such that not only DD≠A n , but even D e ≠A n for e<[n/2 ]. It may be conjectured that as n ← ∞, almost all classes C satisfy C 3 = A n . In this article, it is shown that as n ← ∞, almost all classes C satisfy C 4 = A n ." @default.
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- W1987052313 date "1978-03-01" @default.
- W1987052313 modified "2023-10-14" @default.
- W1987052313 title "Covering Theorems for FINASIGS VIII—almost all conjugacy classes in An have exponent ≤4" @default.
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- W1987052313 doi "https://doi.org/10.1017/s1446788700038799" @default.
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