Some Results on Isologism of Pairs of Groups

Document Type : Research Paper

Author

Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran.

Abstract

Let ν be a variety of groups defined by a set V of laws. Then the verbal subgroup and the marginal subgroup of a group G associated with the variety are denoted by V (G) and V∗(G), respectively. Let (N, G) be a pair of groups in which N is a normal subgroup of G. In the paper, we study the lower and upper ν-marginal series of the pair (N, G) and prove some properties of isologism of pairs of groups.

Keywords

References

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Global Analysis and Discrete Mathematics
Volume 7, Issue 2
September 2022
Pages 209-217

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History

  • Receive Date: 13 October 2022
  • Accept Date: 25 May 2023

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