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Special linear group:SL(2,3)

209 bytes added, 03:58, 31 March 2012
Arithmetic functions
! Function !! Value !! Similar groups !! Explanation
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| {{arithmetic function value order|24}} || Order of As <math>SL(2,q)</math> is , <math>q = 3</math>: <math>q^3 - q= 3^3 - 3 = 24</math>. Here <br>As <math>2 \cdot A_n, n = 4</math>: <math>n! = 4! = 24</matH><br>As [[binary von Dyck group]] with parameters <math>(p,q ,r) = (3,3,2)</math>, we get : <math>\frac{4}{1/p + 1/q + 1/r - 1} = \frac{4}{1/3^+ 1/3 + 1/2 - 3 1} = \frac{4}{1/6} = 24</math>.
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| {{arithmetic function value given order|exponent of a group|12|24}} || Elements of order <math>2,3,4,6</math>.
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