On homogeneous nilpotent groups and rings

Cherlin, Gregory; Saracino, Dan; Wood, Carol

doi:10.1090/S0002-9939-1993-1160294-0

On homogeneous nilpotent groups and rings
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by Gregory Cherlin, Dan Saracino and Carol Wood PDF

Proc. Amer. Math. Soc. 119 (1993), 1289-1306 Request permission

Abstract:

We give a new framework for the construction of homogeneous nilpotent groups and rings which goes a long way toward unifying the two cases, and enables us to extend previous constructions, producing a variety of new examples. In particular we find ingredients for the manufacture of $2{}^\aleph 0$ homogeneous nilpotent groups "in nature".

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