The Wikipedia article on Andrews-Curtis conjecture, consulted for its lead-section facts.
Facts
Citation
PublisherWikimedia Foundation
URLhttps://en.wikipedia.org/wiki/Andrews-Curtis_conjecture
Source TypeReference Work
Assessment
Reliability Tier2
General encyclopedia reference, actively edited; tier 2 matching the family's existing Wikipedia source entities. Sources
Andrews-Curtis Conjecture (Wikipedia)
Wikimedia FoundationLead sectionQuote, Lead section
In mathematics, the Andrews-Curtis conjecture states that every balanced presentation (i.e. a presentation with the same number of generators and relations) of the trivial group can be transformed into a trivial presentation by a sequence of Nielsen transformations on the relators together with conjugations of relators.
Claims Backed By This Source (13 claims)
This source backs 13 claims across the atlas. As facts: 10 well-attested. Plus 3 entities citing it as a general reference with no single fact or relationship attached.
Disposition By Topic
- Conjectures, 9 claims: 6 well-attested, 3 general references.
- Sources, 4 claims: 4 well-attested.
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