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The bounds for $D_r$ given by the formula proposed in this paper, can be calculated for groups upto rank 3, and the cycle lengths having in all at most 3 prime factors, using this R program. Prime $p_2$ has powers $e_1, e_2, e_3$ in ascending order, $p_2$ has powers $f_1, f_2, f_3$ in ascending order and $p_3$ has powers $g_1, g_2, g_3$ in ascending order. The program can be extended similarly for more primes and higher rank. |
<< National Library of India (Kolkata)
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