Powers in finite groups
Copyright policy )Powers in finite groups
If G is a finitely generated profinite group then the verbal subgroup G^{q} is open. In a d -generator finite group every product of q th powers is a product of f(d,q) q th powers.
- University of Oxford United Kingdom
Generators, relations, and presentations of groups, Group Theory (math.GR), finite groups, Quasivarieties and varieties of groups, verbal widths, Special subgroups (Frattini, Fitting, etc.), products of powers, power subgroups, FOS: Mathematics, finitely generated profinite groups, 20E20, 20F20, Limits, profinite groups, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups
Generators, relations, and presentations of groups, Group Theory (math.GR), finite groups, Quasivarieties and varieties of groups, verbal widths, Special subgroups (Frattini, Fitting, etc.), products of powers, power subgroups, FOS: Mathematics, finitely generated profinite groups, 20E20, 20F20, Limits, profinite groups, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups
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