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· NON-ARCHIMEDEAN GROUP ALGEBRAS 5. IDEMPOTENTS 381 THEOREM 5.1. Let G be a locally nilpotent group. Then I(Zp , G) has a nontrivial idempotent if and only if G contains an element
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Products of idempotents in certain semigroups of …...a in 0x to be the cardinal of the set S(a) = { xccx e # X: x}. Ia =f s 1 then a is an idempotent of defect 1. To see this, let