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A group of exponent $ 4$ with derived length at least $ 4$

Authors: S. Bachmuth, H. Y. Mochizuki and K. Weston
Journal: Proc. Amer. Math. Soc. 39 (1973), 228-234
MSC: Primary 20-04
MathSciNet review: 0314943
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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.

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Keywords: Group of exponent 4, derived length
Article copyright: © Copyright 1973 American Mathematical Society