Affiliation:
1. Department of Mathematics and Statistics, University of Western Australia, 35 Stirling Highway Crawley, Perth WA 6009, Australia
Abstract
In this paper we prove that for every n ≥ 3, there exists a permutation 3-group Pn such that Pn has five orbits, each of size at least 32n-1, and Pn has no fixed-point-free element. In particular, this gives, for the prime 3, an answer to a conjecture in [2] and [4].
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
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