The commutator subgroup of a pair of groups

H Arabyani - Tbilisi Mathematical Journal, 2021 - projecteuclid.org
Schur proved that if G is a group such that G/Z (G) is finite, then G′ is finite. Several authors
studied the converse of Schur's theorem. In this paper, we extend the converse of Schur's …

[PDF][PDF] On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras

H Arabyani, MJ Sadeghifard - … Mathematicae-General Algebra …, 2021 - bibliotekanauki.pl
On isoclinic extensions of Lie algebras and Nilpotent Lie algebras Page 1 Discussiones
Mathematicae General Algebra and Applications 41 (2021) 15–22 doi:10.7151/dmgaa.1346 ON …

Some inequalities on the order of the higher multiplier of groups

H Arabyani - Caspian Journal of Mathematical Sciences …, 2022 - cjms.journals.umz.ac.ir
The notion of the Schur multiplier of a pair of groups was introduced by Ellis. Authors
generalized the concept of the Schur multiplier of a pair of groups to the c-nilpotent multiplier …