The Euler characteristic of the Whitehead automorphism group of a free product
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A combinatorial summation identity over the lattice of labelled hypertrees is established that allows one to gain concrete information on the Euler characteristics of various automorphism groups of free products of groups.
19 pages, 3 figures, to appear in Trans. Amer. Math. Soc
19 pages, 3 figures, to appear in Trans. Amer. Math. Soc