k-nacci sequences in miller’s generalization of polyhedral groups

K-nacci Sequences in Finite Triangle Groups

A k-nacci sequence in a finite group is a sequence of group elements x0, x1, x2, . . . , xn, . . . for which, given an initial seed set x0, x1, x2, . . . , xj−1 , each element is defined by xn x0x1 . . . xn−1, for j ≤ n < k, and xn xn−kxn−k 1 . . . xn−1, for n ≥ k. We also require that the initial elements of the sequence, x0, x1, x2, . . . , xj−1, generate the group, thus forcing the k-nacci s...

On the Basic k-nacci Sequences in Finite Groups

The k-nacci Sequences and The Generalized Order-k Pell Sequences in The Semi-Direct Product of Finite Cyclic Groups

the tragedy of modern man in arthur millers world

what miller wants is a theatre of heightened consciousness. he speaks of two passions in a man, the passion to "feel" and the passion "know". he belives that we can have more of the latter. he says: drama is akin to the other inventions of man in that it ought to help us know more and not merely to spend our feelings. the writing of the crucible shows us that he is trying to give more heightene...

The Jacobsthal Sequences in Finite Groups

Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . Furthermore, we obtain the lengths of the periods of the generalized order-3 ...

The Generalized Order-k Lucas Sequences in Finite Groups

Ömür Deveci1, 2 and Erdal Karaduman1,2 1 Department of Mathematics, Faculty of Arts and Science, Kafkas University, 36100 Kars, Turkey 2 Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, Turkey Correspondence should be addressed to Ömür Deveci, [email protected] Received 18 October 2011; Accepted 11 December 2011 Academic Editor: Reinaldo Martinez Palhares C...