caa a22 4500 475741447 CHVBK 20180406123500.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1007/BF02675625 doi (NATIONALLICENCE)springer-10.1007/BF02675625 Grigorchuk R. V. A. Steklov Mathematics Institute, Russian Academy of Sciences, USSR aut Branch groups [Elektronische Daten] [R. Grigorchuk] The class of branch groups is defined (both in the abstract and in the profinite category). The relationship of this class with the class of extremal groups is established. Properties of the branch groups are investigated. Applications of the congruence property to the theory of profinite branch groups are indicated. The weak maximality of parabolic subgroups in branch groups is proved. Kluwer Academic/Plenum Publishers, 2000 branch group nationallicence profinite group nationallicence congruence property nationallicence parabolic subgroup nationallicence extremal group nationallicence weakly maximal subgroup nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/6(2000-06-01), 718-723 0001-4346 67:6<718 2000 67 11006 https://doi.org/10.1007/BF02675625 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02675625 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Grigorchuk R. V. A. Steklov Mathematics Institute, Russian Academy of Sciences, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/6(2000-06-01), 718-723 0001-4346 67:6<718 2000 67 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer