Mathematical Sciences Classification System
20Fxx - Special aspects of infinite or finite groups
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20F05Generators, relations, and presentations
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20F06Cancellation theory; application of van Kampen diagrams [See also 57M05]
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20F10
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20F11
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20F12Commutator calculus
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20F14Derived series, central series, and generalizations
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20F16Solvable groups, supersolvable groups [See also 20D10]
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20F17Formations of groups, Fitting classes [See also 20D10]
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20F18Nilpotent groups [See also 20D15]
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20F19Generalizations of solvable and nilpotent groups
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20F22Other classes of groups defined by subgroup chains
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20F24FC-groups and their generalizations
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20F28Automorphism groups of groups [See also 20E36]
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20F29Representations of groups as automorphism groups of algebraic systems
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20F34
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20F36Braid groups; Artin groups
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20F38Other groups related to topology or analysis
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20F40Associated Lie structures
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20F45Engel conditions
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20F50Periodic groups; locally finite groups
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20F55
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20F60Ordered groups [See mainly 06F15]
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20F65
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20F67Hyperbolic groups and nonpositively curved groups
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20F69Asymptotic properties of groups
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20F70Algebraic geometry over groups; equations over groups
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20F99None of the above, but in this section