The Class Number of Derived Subgroups and the Structure of Camina Groups
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@Article{CMR-26-144,
author = {Wang , Junxin},
title = {The Class Number of Derived Subgroups and the Structure of Camina Groups},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {26},
number = {2},
pages = {144--158},
abstract = {
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 $G$.
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19168.html} }
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 $G$.
Wang , Junxin. (2021). The Class Number of Derived Subgroups and the Structure of Camina Groups.
Communications in Mathematical Research . 26 (2).
144-158.
doi:
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