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Connected transversals -- the Zassenhaus case

Tomáš KepkaPetr Němec — 2000

Commentationes Mathematicae Universitatis Carolinae

In this short note, it is shown that if A , B are H -connected transversals for a finite subgroup H of an infinite group G such that the index of H in G is at least 3 and H H u H v = 1 whenever u , v G H and u v - 1 G H then A = B is a normal abelian subgroup of G .

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