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REPORTS > AUTHORS > TIMOTHY GOWERS:
All reports by Author Timothy Gowers:

TR16-127 | 12th August 2016
Timothy Gowers, Emanuele Viola

The multiparty communication complexity of interleaved group products

Party $A_i$ of $k$ parties $A_1,\dots,A_k$ receives on
its forehead a $t$-tuple $(a_{i1},\dots,a_{it})$ of
elements from the group $G=\text{SL}(2,q)$. The parties
are promised that the interleaved product $a_{11}\dots
a_{k1}a_{12}\dots a_{k2}\dots a_{1t}\dots a_{kt}$ is
equal either to the identity $e$ or to some other fixed
element $g\in G$. Their goal is ... more >>>


TR15-044 | 2nd April 2015
Timothy Gowers, Emanuele Viola

The communication complexity of interleaved group products

Revisions: 1

Alice receives a tuple $(a_1,\ldots,a_t)$ of $t$ elements
from the group $G = \text{SL}(2,q)$. Bob similarly
receives a tuple $(b_1,\ldots,b_t)$. They are promised
that the interleaved product $\prod_{i \le t} a_i b_i$
equals to either $g$ and $h$, for two fixed elements $g,h
\in G$. Their task is to decide ... more >>>




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