FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES
Publish place: Journal of Algebraic Systems، Vol: 4، Issue: 2
Publish Year: 1396
Type: Journal paper
Language: English
View: 341
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Document National Code:
JR_JAS-4-2_001
Index date: 9 July 2019
FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES abstract
Let G be a finite group and Z(G) be the center of G. For a subset A of G, we define kG(A), the number of conjugacy classes of G that intersect A non-trivially. In this paper, we verify the structure of all finite groups G which satisfy the property kG(G-Z(G))=5, and classify them.
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FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES authors
M. Rezaei
Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran.
Z. Foruzanfar
Buein Zahra Technical University, Buein Zahra, Qazvin, Iran.