Séminaire Lotharingien de Combinatoire, B19s (1988), 3 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1988, 361/S-19, p.
135-137]
Volkmar Welker
Permutabilitäten kleiner endlicher Gruppen
Abstract.
Given a group G, let P(n) be the property
that for all x1,...,xn
in G there exists a product of these elements in a permuted
order which is equal to (the non-permuted poduct)
x1...xn.
Now defined P(G) to be the minimal n
for which G possesses the property P(n)
but not P(n-1). We present results on the
(highly non-trivial) computation of P(G),
in particular for groups G of order up to 20.
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