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Galoitica: Journal of Mathematical Structures and Applications

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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 | 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

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