Commutators and commutator subgroups of finite $p$-groups

Rahul Kaushik; Manoj K. Yadav

doi:10.1016/j.jalgebra.2020.10.007

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arXiv · 2005.13929

Commutators and commutator subgroups of finite $p$-groups

Rahul Kaushik·Manoj K. Yadav

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Abstract

We present a classification of finite $p$-groups $G$ with $\gamma_2(G)$, the commutator subgroup of $G$, of order $p^4$ and exponent $p$ such that not all elements of $\gamma_2(G)$ are commutators.

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Rahul Kaushik, Manoj K. Yadav. 2020-05-28. Commutators and commutator subgroups of finite $p$-groups. https://doi.org/10.1016/j.jalgebra.2020.10.007

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