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Galoitica: Journal of Mathematical Structures and Applications
Volume 1 , Issue 2, PP: 11-12 , 2022 | Cite this article as | XML | Html |PDF

Title

A Short Contribution to the Extension of the Group C(n)

  Maretta Sarkis 1 *

1  Sarkismaretta1990@gmail.com
    (Abu Dhabi University, Abu Dhabi, UAE)

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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

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MLA Maretta Sarkis. "A Short Contribution to the Extension of the Group C(n)." Galoitica: Journal of Mathematical Structures and Applications, Vol. 1, No. 2, 2022 ,PP. 11-12 (Doi   :  https://doi.org/10.54216/GJMSA.010202)
APA Maretta Sarkis. (2022). A Short Contribution to the Extension of the Group C(n). Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 ( 2 ), 11-12 (Doi   :  https://doi.org/10.54216/GJMSA.010202)
Chicago Maretta Sarkis. "A Short Contribution to the Extension of the Group C(n)." Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 no. 2 (2022): 11-12 (Doi   :  https://doi.org/10.54216/GJMSA.010202)
Harvard Maretta Sarkis. (2022). A Short Contribution to the Extension of the Group C(n). Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 ( 2 ), 11-12 (Doi   :  https://doi.org/10.54216/GJMSA.010202)
Vancouver Maretta Sarkis. A Short Contribution to the Extension of the Group C(n). Journal of Galoitica: Journal of Mathematical Structures and Applications, (2022); 1 ( 2 ): 11-12 (Doi   :  https://doi.org/10.54216/GJMSA.010202)
IEEE Maretta Sarkis, A Short Contribution to the Extension of the Group C(n), Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 1 , No. 2 , (2022) : 11-12 (Doi   :  https://doi.org/10.54216/GJMSA.010202)
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