دوره 20، شماره 2 - ( 6-1404 )
جلد 20 شماره 2 صفحات 128-123 |
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Abdollahi A, Ebrahimi M. Zero Divisors of Support Size 3 in Complex Group Algebras of Finite Groups. IJMSI 2025; 20 (2) :123-128
URL: http://ijmsi.ir/article-1-2048-fa.html
URL: http://ijmsi.ir/article-1-2048-fa.html
Zero Divisors of Support Size 3 in Complex Group Algebras of Finite Groups. مجله علوم ریاضی و انفورماتیک. 1404; 20 (2) :123-128
چکیده:
It is proved that if 1 + x + y or 1 + x - y cannot occur as a zero divisor of the complex group algebra of a finite group G for any two distinct x, y ∈ G {1}, then G is solvable. We also characterize all finite abelian groups with the latter property. The motivation of studying such property for finite groups is to settle the existence of zero divisors with support size 3 in the integral group algebra of torsion free residually finite groups.
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