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Upgrading Subgroup Triple Product Property Triples
Subgroup Triple Product Property Triples Group Theory
2011/9/23
Abstract: In 2003 COHN and UMANS introduced a group-theoretic approach to fast matrix multiplication. This involves finding large subsets of a group $G$ satisfying the Triple Product Property (TPP) as...
A note on the Triple Product Property subgroup capacity of finite groups
Triple Product Property finite groups Group Theory
2011/9/23
Abstract: In the context of group-theoretic fast matrix multiplication the TPP capacity is used to bound the exponent $\omega$ of matrix multiplication. We prove a new and sharper upper bound for the ...
Product decompositions in finite simple groups
Product decompositions finite simple groups Group Theory
2011/8/30
Abstract: We propose a general conjecture on decompositions of finite simple groups as products of conjugates of an arbitrary subset. We prove this conjecture for bounded subsets of arbitrary finite s...
We consider the graph together with the arbitrary partition of its vertex set into n subsets (n-partitioned graph). On the set of $n$-partitioned graphs distinguished up to isomorphism we define the b...
A Nontrivial Product of Filtration $s+5$ in the Stable Homotopy Groups of Spheres (LL)
Stable homotopy of spheres Adams spectral sequence Toda--Smith spectrum May spectral sequence
2007/12/11
In this paper, some groups ${\rm Ext}_A^{s,t}(Z_p,Z_p)$ with specialized $s$ and $t$ are first computed by the May spectral sequence. Then we make use of the Adams spectral sequence to prove the exist...