A group of exponent 4 with derived length at least 4

Bachmuth, S.; Mochizuki, H. Y.; Weston, K.

doi:10.1090/S0002-9939-1973-0314943-4

A group of exponent $4$ with derived length at least $4$
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by S. Bachmuth, H. Y. Mochizuki and K. Weston PDF

Proc. Amer. Math. Soc. 39 (1973), 228-234 Request permission

Abstract:

There exists a group $G$ of exponent 4 such that the third term of its derived series, ${\delta _3}(G) = {G^m}$, is nontrivial. Furthermore, the third term of the derived series of $G$ is not contained in the ninth term of its lower central series.

References

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Engel conditions in groups and related questions

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