Bulletin of the Korean Mathematical Society (대한수학회보)

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COMMUTATOR LENGTH OF SOLVABLE GROUPS SATISFYING MAX-N

  • Published : 2006.11.30
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Abstract

In this paper we find a suitable bound for the number of commutators which is required to express every element of the derived group of a solvable group satisfying the maximal condition for normal subgroups. The precise formulas for expressing every element of the derived group to the minimal number of commutators are given.

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References

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  1. On Solvable Groups of Arbitrary Derived Length and Small Commutator Length vol.2011, 2011, https://doi.org/10.1155/2011/245324
  2. Palindromic Width of Finitely Generated Solvable Groups vol.43, pp.11, 2015, https://doi.org/10.1080/00927872.2014.952738
  3. Palindromic width of wreath products vol.471, 2017, https://doi.org/10.1016/j.jalgebra.2016.09.015