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Groups with identities. (English) Zbl 1403.20041

Summary: This is a survey of a still evolving subject. The purpose is to develop a theory of prounipotent (respectively pro-\(p\)) groups satisfying a prounipotent (respectively pro-\(p\)) identity that is parallel to the theory of PI-algebras.

MSC:

20E18 Limits, profinite groups
20F50 Periodic groups; locally finite groups
20F40 Associated Lie structures for groups
16R10 \(T\)-ideals, identities, varieties of associative rings and algebras
17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.)
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