20XX 


Group theory and generalizations 

20Fxx 

Special aspects of infinite or finite groups 


20F05 
Generators, relations, and presentations 


20F06 
Cancellation theory; application of van Kampen diagrams [See also 57M05] 


20F10 
Word problems, other decision problems, connections with logic and automata [See also 03B25, 03D05, 03D40, 06B25, 08A50, 68Q70] 


20F12 
Commutator calculus 


20F14 
Derived series, central series, and generalizations 


20F16 
Solvable groups, supersolvable groups [See also 20D10] 


20F17 
Formations of groups, Fitting classes [See also 20D10] 


20F18 
Nilpotent groups [See also 20D15] 


20F19 
Generalizations of solvable and nilpotent groups 


20F22 
Other classes of groups defined by subgroup chains 


20F24 
FCgroups and their generalizations 


20F28 
Automorphism groups of groups [See also 20E36] 


20F29 
Representations of groups as automorphism groups of algebraic systems 


20F34 
Fundamental groups and their automorphisms [See also 57M05, 57Sxx] 


20F36 
Braid groups; Artin groups 


20F38 
Other groups related to topology or analysis 


20F40 
Associated Lie structures 


20F45 
Engel conditions 


20F50 
Periodic groups; locally finite groups 


20F55 
Reflection and Coxeter groups [See also 22E40, 51F15] 


20F60 
Ordered groups [See mainly 06F15] 


20F65 
Geometric group theory [See also 05C25, 20E08, 57Mxx] 


20F67 
Hyperbolic groups and nonpositively curved groups 


20F69 
Asymptotic properties of groups 


20F99 
None of the above, but in this section 