On the structure of orthodox unions of groups R. J. Warne.

الملخص EN

Let <ᶿ' denote division where θ is the given homomorphism, let O(or) denote wreath product (reverse wreath product), let and ₰ denote Green’s relations and let “1” denote an appended identity.

Main Theorem: Let S be an orthogroup.

Then5

In particular, if S is a band, S<ᶿ VOE' where x ЄSᶿ'-1 implies x2 = x3.