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# Suppose a1,a2,a3,.,ak G ( a finite group ) where k 2 Suppose a1aj =ajai where i k and GCD (ord ai,ord aj) = 1 then prove ord(a1a2 .ak ) = ( ord...

Suppose a1,a2,a3,…,ak ∈ G ( a finite group ) where k ≥ 2

Suppose a1aj =ajai where i ≠ k and GCD (ord ai,ord aj) = 1

then prove ord(a1a2 … .ak ) = ( ord a1)(orda2)…(ord ak)

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Friend a complete satisfaction... View the full answer Suppose a1,a2,a3,…,ak ∈ G ( a finite group ) where k ≥ 2
Suppose aiaj =ajai where i ≠ k and GCD (ord ai, ord aj) = 1
then prove ord (a1a2 … .ak ) = ( ord a1)(orda2)…(ord ak)
Ans) we...

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