# The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and $\omega$-solvability

@inproceedings{Kadokami2022TheMI, title={The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and \$\omega\$-solvability}, author={Teruhisa Kadokami}, year={2022} }

For a knot K in S 3 , let G ( K ) be the knot group of K , a ( K ) the Ma-Qiu index (the MQ index, for short), which is the minimal number of normal generators of the commutator subgroup of G ( K ), and m ( K ) the Nakanishi index of K , which is the minimal number of generators of the Alexander module of K . We generalize the notions for a pair of a group G and its normal sugroup N , and we denote them by a ( G, N ) and m ( G, N ) respectively. Then it is easy to see m ( G, N ) ≤ a ( G, N ) in…

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