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Groups with finiteness conditions on some subgroup systems: a contemporary stage. (English) Zbl 1199.20051

Summary: This paper gives a brief historical survey of results in which certain systems of subgroups of a group satisfy various finiteness conditions.

MSC:

20E15 Chains and lattices of subgroups, subnormal subgroups
20E07 Subgroup theorems; subgroup growth
20F19 Generalizations of solvable and nilpotent groups
20F22 Other classes of groups defined by subgroup chains
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