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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Additional Information
- © Copyright 1973 American Mathematical Society
- 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