Abstract
This work continues the study of the subgroups of totally imprimitive groups of finitary permutations which was started in [A. O. Asar. On finitary permutation groups. Turkish J. Math. 30 (2006), 101–116]. Here some characterizations of non-FC-subgroups and subnormal subgroups of stabilizers of these groups are obtained, and the non-triviality of the core of G in the normalizers of blocks is shown.



















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