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- W2001285816 abstract "The commutator length “” of a group is the least natural number such that every element of the derived subgroup of is a product of commutators. We give an upper bound for when is a -generator nilpotent-by-abelian-by-finite group. Then, we give an upper bound for the commutator length of a soluble-by-finite linear group over that depends only on and the degree of linearity. For such a group , we prove that is less than , where is the minimum number of generators of (upper) triangular subgroup of and is a quadratic polynomial in . Finally we show that if is a soluble-by-finite group of Prüffer rank then , where is a quadratic polynomial in ." @default.
- W2001285816 created "2016-06-24" @default.
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- W2001285816 date "2008-01-01" @default.
- W2001285816 modified "2023-09-25" @default.
- W2001285816 title "Commutator Length of Finitely Generated Linear Groups" @default.
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- W2001285816 doi "https://doi.org/10.1155/2008/281734" @default.
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