Pith. sign in

REVIEW

A Note on the Group-theoretic Approach to Fast Matrix Multiplication

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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

arxiv 1101.5598 v2 pith:YS5GUAZF submitted 2011-01-28 math.GR cs.SC

Ivo Hedtke This is my paper · ORCID
classification math.GRcs.SC
keywords matrixmultiplicationapproachboundfastgroup-theoreticassumedcohn
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

In 2003 COHN and UMANS introduced a group-theoretic approach to fast matrix multiplication. This involves finding large subsets S, T and U of a group G satisfying the Triple Product Property (TPP) as a means to bound the exponent $\omega$ of the matrix multiplication. We show that S, T and U may be be assumed to contain the identity and be otherwise disjoint. We also give a much shorter proof of the upper bound |S|+|T|+|U| <= |G|+2.

Discussion (0). Continue with ORCID to comment.

Pith tools