Considering the conjugacy classes of the alternating group of degree n, those classes that contain a pair of generators are in the majority. In fact, the proportion of such classes is 1 -ε(n), and ε(n) → 0 as n → ∞.
- AMS (MOS) subject classifications (1980): Primary 20P05, Secondary 20F05, 20D06, 20D60
- Alternating groups
- pairs of generators in almost all conjugacy classes
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