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 with derived length at least

Authors: S. Bachmuth, H. Y. Mochizuki and K. Weston
Journal: Proc. Amer. Math. Soc. 39 (1973), 228-234
MSC: Primary 20-04
DOI: https://doi.org/10.1090/S0002-9939-1973-0314943-4
MathSciNet review: 0314943
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Abstract: There exists a group 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 is not contained in the ninth term of its lower central series.

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