scholarly journals Upgrading Subgroup Triple-Product-Property Triples

2015 ◽  
Vol 20 ◽  
pp. 1-17
Author(s):  
Ivo Hedtke
Keyword(s):  
Triple Product ◽  
Product Property ◽  
Triple Product Property

scholarly journals A fast search algorithm for 〈m,m,m〉 Triple Product Property triples and an application for 5×5 matrix multiplication

2015 ◽  
Vol 7 (1) ◽  
Author(s):  
Sarah Hart ◽  
Ivo Hedtke ◽  
Matthias Müller-Hannemann ◽  
Sandeep Murthy
Keyword(s):  
Search Algorithm ◽  
Matrix Multiplication ◽  
Triple Product ◽  
Product Property ◽  
Fast Search ◽  
Fast Search Algorithm ◽  
Triple Product Property

AbstractWe present a new fast search algorithm for 〈

scholarly journals A note on the triple product property for subsets of finite groups

2011 ◽  
Vol 14 ◽  
pp. 232-237 ◽  
Author(s):  
Peter M. Neumann
Keyword(s):  
Finite Group ◽  
Finite Groups ◽  
Abelian Subgroup ◽  
Matrix Multiplication ◽  
Triple Product ◽  
Product Property ◽  
Simple Observation ◽  
A Finite Group ◽  
Triple Product Property

AbstractThe triple product property (TPP) for subsets of a finite group was introduced by Henry Cohn and Christopher Umans in 2003 as a tool for the study of the complexity of matrix multiplication. This note records some consequences of the simple observation that if (S1,S2,S3) is a TPP triple in a finite group G, then so is (dS1a,dS2b,dS3c) for any a,b,c,d∈G.Let si:=∣Si∣ for 1≤i≤3. First we prove the inequality s1(s2+s3−1)≤∣G∣ and show some of its uses. Then we show (something a little more general than) that if G has an abelian subgroup of index v, then s1s2s3 ≤v2 ∣G∣.

Structure determination of the new tetracyclic diterpene ingenol-triacetate with triple product methods

1970 ◽  
Vol 11 (47) ◽  
pp. 4075-4078 ◽  
Author(s):  
K. Zechmeister ◽  
F. Brandl ◽  
W. Hoppe ◽  
E. Hecker ◽  
H.J. Opferkuch ◽  
...  
Keyword(s):  
Structure Determination ◽  
Triple Product

scholarly journals New polynomial analogues of Jacobi's triple product and Lebesgue's identities

2004 ◽  
Vol 32 (4) ◽  
pp. 801-824 ◽  
Author(s):  
Krishnaswami Alladi ◽  
Alexander Berkovich
Keyword(s):  
Triple Product
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