full
search.png

Search

close.png

Cancel

arrow
Volume 26, Issue 2
The Class Number of Derived Subgroups and the Structure of Camina Groups

Junxin Wang

Commun. Math. Res., 26 (2010), pp. 144-158.

Published online: 2021-05

Preview Purchase PDF 2313 29356

Cited by

google scholar semantic scholar
Export citation
  • 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 $G$.

  • Keywords

Camina group, conjugacy class, Frobenius group.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard