The alternating group of this degree is the smallest simple non-abelian group.
The alternating group of this degree is the smallest simple non-abelian group. The smallest non-planar graph has this number of vertices, while this integer's square root has a continued fraction representation consisting of a two followed by an infinite number of fours, and that square root is found in the expression of sine of pi over ten. This is the smallest number n for which polynomials of degree n are not generally solvable, according to the Abel- Ruffini theorem. The golden ratio is equal to one half plus its square root divided by two, and regular polygons with this number of vertices have internal angles of 108 degrees. For 10 points, name this number of sides in a pentagon.
The alternating group of this degree is the smallest simple non-abelian group.
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