✦ LIBER ✦

On the R-sequenceability of dicyclic groups

✍ Scribed by Chengde Wang

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 345 KB
Volume: 125
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)90181-3

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✦ Synopsis

We give a sufficient condition for the R-sequenceability of the dicyclic group Qzn =gp{ a, b: a'" = e, b2 = a", ab = ba-' } of order 4n and give two specific constructions by which the condition can be met when (1) n = 4k or (2) n + 1 is a prime p say and -2 is a primitive root modulo p. We conjecture that the condition can be met for all even integers n > 2.

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