In particular, this shows that the Grothendieck-Teichm\"uller group acts faithfully (and essentially transitively) on the completions of the properads governing even Lie bialgebras and involutive Lie bialgebras, up to homotopy.
I will warrant they prove such roaring boys as I knew when I served under Lumford and Goring, … —sleeping rough on the trenches, and dying stubbornly in their boats. Ah! those merry days are gone.
Born in nearby Hayes to Violet Haxell, a comptometrist, and John Coventry, a mechanic, he attended Hayes grammar school.
We must harness new ideas and technology to remake our government, revamp our tax code, reform our schools, and empower our citizens with the skills they need to work harder, learn more, and reach higher.
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