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The Generalized Order-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>k</mml:mi></mml:math>Lucas Sequences in Finite Groups

The Generalized Order-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>k</mml:mi></mml:math>Lucas Sequences in Finite Groups

We study the generalized orderā€ k Lucas sequences modulo m . Also, we define the i th generalized orderā€ k Lucas orbit ( G ) with respect to the generating set A and the constants Ī± 1 , Ī± 2 , and Ī± k āˆ’1 for a finite group G ā€¦