On n-capable groups

Document Type : Research Paper

Authors

1 Department of Basic Sciences, School of Mathematical Sciences, PO BOX 19395-3697, Payame Noor University, Tehran, Iran.

2 Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.

Abstract

A group G is called n-capable if for a suitable group H we have G ≅H/Zn(H). In this article, we impose some conditions to an n-capable group G and find a group H with the mentioned condition such that G ≅ H/Zn(H).

Keywords

Global Analysis and Discrete Mathematics
Volume 8, Issue 1
November 2023
Pages 37-41

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History

  • Receive Date: 07 February 2024
  • Revise Date: 08 April 2024
  • Accept Date: 20 April 2024

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