REVIEW 1 cited by
Bounded quotients of the fundamental group of a random 2-complex
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
Let D denote the (n-1)-dimensional simplex. Let Y be a random 2-dimensional subcomplex of D obtained by starting with the full 1-skeleton of D and then adding each 2-simplex independently with probability p. For a fixed c>0 it is shown that if p=\frac{(6+7c) \log n}{n} then a.a.s. the fundamental group \pi(Y) does not have a nontrivial quotient of order at most n^c.
Forward citations
Cited by 1 Pith paper
-
Minimal Submanifolds and Waists of Locally Symmetric Spaces
The paper proves a linear volume lower bound for codimension two minimal submanifolds of compact octonionic hyperbolic manifolds, yielding linear waists, systolic freedom, and new lattice fixed point theorems.
Discussion (0). Continue with ORCID to comment.