TY - JOUR T1 - The Class Number of Derived Subgroups and the Structure of Camina Groups AU - Wang , Junxin JO - Communications in Mathematical Research VL - 2 SP - 144 EP - 158 PY - 2021 DA - 2021/05 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19168.html KW - Camina group, conjugacy class, Frobenius group. AB -
A finite group $G$ is called a Camina group if $G$ has a proper normal subgroup $N$ such that $gN$ is precisely a conjugacy class of $G$ for any $g ∈ G − N$. In this paper, the structure of a Camina group $G$ is determined when $N$ is a union of 2, 3 or 4 conjugacy classes of $G$.