Some properties of pair of n-isoclinism induction

Document Type : Research Paper

Authors

1 Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

2 Department of Mathematics, Esfarayen University of Technology, Esfarayen, Iran

Abstract

Let (G,M) be a pair of groups, in which M is a normal subgroup of a group G. We study some properties of n-isoclinism of pair of groups. In fact, we show that the subgroups and quotient groups of two n-isoclinism pair of groups are m-isoclinic for all m≤n. Moreover, the properties of π-pair and supersolvable pair of groups which are invariant under n-isoclinism has be studied.

Keywords

References

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Journal of Algebra and Related Topics
Volume 11, Issue 1
June 2023
Pages 15-26

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