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The Minimal Number of Cyclic Generators of the Symmetric and Alternating Groups |
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| Authors: | Oz Ben-Shimol |
| Institution: | 1. Department of Mathematics , University of Haifa , Haifa, Israel obenshim@math.haifa.ac.il |
| Abstract: | The aim of this note is to find the minimal number of generators of the symmetric group S n and alternating group A n , when the generators are cycles of length at most k. The approach is constructive. |
| Keywords: | Alternating group Cycles Generators Symmetric group |