Commutators and commutator subgroups of finite $p$-groups

Autor:	Kaushik, Rahul, Yadav, Manoj K.
Rok vydání:	2020
Předmět:	Mathematics - Group Theory 20D15 20F12
Zdroj:	J Algebra, Vol 568 (2021) 314-348
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jalgebra.2020.10.007
Popis:	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. Comment: 28 pages. Included the case $p=2$ and corrected some ambiguities
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.13929 Zobrazit plný text záznamu View this record from Arxiv