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Symmetry And Group

An Introduction to Semigroup Theory by Howie J.M. (ed.)

( ~ O ( y ; ~ ) , ~ _ ) __>... __> ~ r ( y ; ~ ) , ~ - ~ which is certainly an acyclic resolution. _~ ... - Suppose that / ~ a c t s trivially on each then /~-~acts and T(Y,~)r(Y;~)) = is a trivial Z(q~-module Cr's(~;~) - trivially on ~ , ~r(x; ~) C r(Y,~) 55 so in this case = Homz(~)ys(g/9,cr(y;~)~--Homzys(72-) Thus if //~-~acts trivially on ~ w e of the KEnneth formula.

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