Author(s)

Journal Title/Source

Publicationes Mathematicae Debrecen

Publication Date

2019

Volume

95

Page Numbers

477–486

Document Type

Journal Article

Department

Mathematics and Computer Science

Abstract

FRUTE loops are loops that satisfy the identity (x · xy)z = (y · zx)x. We show that locally finite FRUTE loops are precisely the products O × H, where O is a commutative Moufang loop in which all elements are of odd order, and H is a 2-group such that the derived subloop H0 is of exponent two and H0 ≤ Z(H).

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