aspg-33-1320-1791296941 20261006142901 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2022 1 2 A Short Contribution to the Extension of the Group C(n) Maretta Sarkis Sarkismaretta1990@gmail.com In this work, we study the extension problem of a group with type C(n)=āˆ‘_(iāˆˆI) C_P^āˆž 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. 2022 11 12 1320 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.010202 https://www.americaspg.com/journal/33/article/1320 https://www.americaspg.com/storage/9144.pdf