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Erdős problem 274 - herzog schonheim · Conjectures.io
Group theory
Erdős problem 274 - herzog schonheim
Let G be a group, and let A={a1G1,…,akGk} be a finite system of left cosets of
subgroups G1,…,Gk of G.
Herzog and Schönheim conjectured that if A forms a partition of G with k>1, then the
indices [G:G1],…,[G:Gk] cannot be distinct.
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