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q-Tensor and Exterior Centers, Related Degrees and Capability

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Abstract

We introduce intermediate commutators and study their degrees. We define \((q, \{\})\)-capable groups and prove that a group G is \((q, \{\})\)-capable if and only if \(Z^{\wedge }_{(q, \{\})}(G)=1\).

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Acknowledgements

We would like to thank the anonymous referee of this paper for many helpful comments and useful suggestions. This work was partially supported by DPI-UnB and FAPDF-Brazil.

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Correspondence to Raimundo Bastos.

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Communicated by Maria Manuel Clementino.

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Bastos, R., de Oliveira, R., Donadze, G. et al. q-Tensor and Exterior Centers, Related Degrees and Capability. Appl Categor Struct 31, 2 (2023). https://doi.org/10.1007/s10485-022-09701-0

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