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Proceedings of the Edinburgh Mathematical Society
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Proceedings of the Edinburgh Mathematical Society
Article . 1998 . Peer-reviewed
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Rank and abelian rank of systems of equations over the free group

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1998 English Publisher:Cambridge University Press (CUP)Journal:Proceedings of the Edinburgh Mathematical Society, volume 41, pages 217-223 (issn: 0013-0915, eissn: 1464-3839, Copyright policy )
Authors: John Lawrence;

doi: 10.1017/s001309150001960x

Rank and abelian rank of systems of equations over the free group

Abstract

Given a finite irredundant system of equations to be solved over the free group, one has four non-negative integers: the number of equations, the number of indeterminants, the rank of the system and the Abelian rank of the system. We show which four-tuples can actually occur.

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Keywords

rank of systems of equations, Free nonabelian groups, Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), free groups

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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!
0
Average
Average
Average
bronze