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RESEARCH PRODUCT

Existentially closed central extensions of locally finite p-groups

Felix LeinenRichard E. Phillips

subject

Discrete mathematicsClass (set theory)NoticeGeneral MathematicsAbelian groupPrime (order theory)MathematicsExistentially closed model

description

Throughout, p will be a fixed prime, and will denote the class of all locally finite p-groups. For a fixed Abelian p-group A, we letwhere ζ(P) denotes the centre of P. Notice that A is not a class in the usual group-theoretic sense, since it is not closed under isomorphisms.

https://doi.org/10.1017/s0305004100066093