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Full Length Article
A Short Contribution to the Extension of the Group C(n)
Maretta Sarkis
1
*
1
Sarkismaretta1990@gmail.com - (Abu Dhabi University, Abu Dhabi, UAE)
Doi:
https://doi.org/10.54216/GJMSA.010202
Received: January 18, 2022 Accepted: May 10, 2022
Abstract
In this work, we study the extension problem of a group with type C(n)=∑_(i∈I) C_P^∞ by using a cyclic group of order p. Also, we prove the following two results: 1-) The group C(n) has only one extension which is compatible with R_3. 2-) The group C(n) has two extensions which are compatible with R_2.
Keywords :
Group
,
Extension
,
Group representation.
References
[1] Kurosh, A.T. (1953). The Theory of groups.
[2] Hall M. (1962). The Theory of groups.
[3] Drobotenko, V.; (1995), Representations of cyclic group of order
Cite This Article As :
Sarkis, Maretta.
A Short Contribution to the Extension of the Group C(n).
Galoitica: Journal of Mathematical Structures and Applications,
vol. , no. ,
2022,
pp. 11-12.
DOI: https://doi.org/10.54216/GJMSA.010202
Sarkis, M.
(2022).
A Short Contribution to the Extension of the Group C(n).
Galoitica: Journal of Mathematical Structures and Applications,
(),
11-12.
DOI: https://doi.org/10.54216/GJMSA.010202
Sarkis, Maretta.
A Short Contribution to the Extension of the Group C(n).
Galoitica: Journal of Mathematical Structures and Applications
, no. (2022):
11-12.
DOI: https://doi.org/10.54216/GJMSA.010202
Sarkis, M.
(2022)
.
A Short Contribution to the Extension of the Group C(n).
Galoitica: Journal of Mathematical Structures and Applications
,
()
,
11-12
.
DOI: https://doi.org/10.54216/GJMSA.010202
Sarkis M.
[2022].
A Short Contribution to the Extension of the Group C(n).
Galoitica: Journal of Mathematical Structures and Applications.
():
11-12.
DOI: https://doi.org/10.54216/GJMSA.010202
Sarkis, M.
"A Short Contribution to the Extension of the Group C(n),"
Galoitica: Journal of Mathematical Structures and Applications,
vol. , no. , pp. 11-12,
2022.
DOI: https://doi.org/10.54216/GJMSA.010202