
Motivated by examples in infinite group theory, we classify the finite groups whose subgroups can never be decomposed as direct products.
5 pages
directly indecomposable subgroups, Mathematics(all), Direct products, Group Theory (math.GR), direct products, General structure theorems for groups, Indecomposable groups, Products of subgroups of abstract finite groups, FOS: Mathematics, CSA groups, 20E34, Mathematics - Group Theory
directly indecomposable subgroups, Mathematics(all), Direct products, Group Theory (math.GR), direct products, General structure theorems for groups, Indecomposable groups, Products of subgroups of abstract finite groups, FOS: Mathematics, CSA groups, 20E34, Mathematics - Group Theory
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