Mathematical Sciences Classification System
20Exx - Structure and classification of infinite or finite groups
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20E05Free nonabelian groups
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20E06Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
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20E07Subgroup theorems; subgroup growth
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20E08Groups acting on trees [See also 20F65]
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20E10Quasivarieties and varieties of groups
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20E15Chains and lattices of subgroups, subnormal subgroups [See also 20F22]
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20E18Limits, profinite groups
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20E22Extensions, wreath products, and other compositions [See also 20J05]
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20E25Local properties
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20E26Residual properties and generalizations; residually finite groups
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20E28Maximal subgroups
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20E32Simple groups [See also 20D05]
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20E34General structure theorems
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20E36Automorphisms of infinite groups [For automorphisms of finite groups, see 20D45]
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20E42Groups with a $BN$-pair; buildings [See also 51E24]
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20E45Conjugacy classes
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20E99None of the above, but in this section