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Galoitica: Journal of Mathematical Structures and Applications

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Online: 2834-5568
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Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 1 • Issue 2 • PP: 11-12 • 2022

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

Maretta Sarkis 1*
mail
1Sarkismaretta1990@gmail.com
* Corresponding Author.
DOI https://doi.org/10.54216/GJMSA.010202
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Received: January 18, 2022 Accepted: May 10, 2022
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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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Sarkis, Maretta. "A Short Contribution to the Extension of the Group C(n)." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 1, no. Issue 2, 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, Volume 1(Issue 2), 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 Volume 1, no. Issue 2 (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, Volume 1(Issue 2), pp. 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. 2022;Volume 1(Issue 2):11-12. DOI: https://doi.org/10.54216/GJMSA.010202
M. Sarkis, "A Short Contribution to the Extension of the Group C(n)," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 1, no. Issue 2, pp. 11-12, 2022. DOI: https://doi.org/10.54216/GJMSA.010202
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