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Article . 2001 . Peer-reviewed
License: Springer Nature TDM
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Groups of Automorphisms of Tournaments

Groups of automorphisms of tournaments
Authors: Jiří Rachůnek;

Groups of Automorphisms of Tournaments

Abstract

The main topic of the paper is to describe the class of weakly associative lattice groups (wal-groups) isomorphic to wal-groups of automorphisms of tournaments. The author shows that the class of wal-groups that can be interpreted as subalgebras of the class of all wal-groups of automorphisms of tournaments is a proper subclass of the class of all wal-groups. He characterizes this class of wal-groups and describes some of its properties.

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Keywords

weakly associative lattice groups, Directed graphs (digraphs), tournaments, automorphism group, Ordered groups, chain, Infinite automorphism groups, wal-groups of automorphisms of tournaments

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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