automatic group wikipedia - EAS
- In mathematics, an automatic group is a finitely generated group equipped with several finite-state automata. These automata represent the Cayley graph of the group. That is, they can tell if a given word representation of a group element is in a "canonical form" and can tell if two elements given in canonical words differ by a generator.en.wikipedia.org/wiki/Automatic_group
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In mathematics, an automatic group is a finitely generated group equipped with several finite-state automata. These automata represent the Cayley graph of the group. That is, they can tell if a given word representation of a group element is in a "canonical form" and can tell if two elements given in canonical … See more
The automatic groups include:
• Finite groups. To see this take the regular language to be the set of all words in the finite group.
• Euclidean groups
• All finitely generated Coxeter groups See moreThe idea of describing algebraic structures with finite-automata can be generalized from groups to other structures. For instance, it … See more
A group is biautomatic if it has two multiplier automata, for left and right multiplication by elements of the generating set, respectively. A biautomatic group is clearly … See more
• Chiswell, Ian (2008), A Course in Formal Languages, Automata and Groups, Springer, ISBN 978-1-84800-939-4. See more
Wikipedia text under CC-BY-SA license Automatic group - HandWiki
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