1. Extremal product-one free sequences in Cq⋊sCm.
- Author
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Brochero Martínez, F.E. and Ribas, Sávio
- Subjects
- *
PRIME numbers , *FINITE groups , *CYCLIC groups , *INTEGERS - Abstract
Let G be a finite group. The Davenport constant of G is the smallest positive integer d such that every sequence over G with d elements has a non-empty subsequence with product 1. Let C n be the cyclic group of order n. Bass [1] showed that the Davenport constant of the metacyclic group C q ⋊ s C m , where q is a prime number and ord q (s) = m ≥ 2 , is m + q − 1. In this paper, we determine the form of all sequences S of C q ⋊ s C m , with q + m − 2 elements that are product-one free. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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