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Fibonacci type semigroups

Williams, G (2014) 'Fibonacci type semigroups.' Algebra Colloquium, 21 (4). pp. 647-652. ISSN 1005-3867


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We study "Fibonacci type" groups and semigroups. By establishing asphericity of their presentations we show that many of the groups are infinite. We combine this with Adjan graph techniques and the classification of the finite Fibonacci semigroups (in terms of the finite Fibonacci groups) to extend it to the Fibonacci type semigroups.

Item Type: Article
Uncontrolled Keywords: Fibonacci group; Fibonacci semigroup; cyclic presentation; asphericity; Adjan graph
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health
Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 22 May 2012 15:52
Last Modified: 06 Jan 2022 13:26

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