Volume 1 • Issue 2 • PP: 11-12 • 2022
A Short Contribution to the Extension of the Group C(n)
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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
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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