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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 2009-02-21 00:29:01

GemmaJ1988
Member
Registered: 2008-10-08
Posts: 39

closed under multiplication

I need to show |Z| is a subgroup of G, the first step is to show |Z| is closed under multiplication.
From definition |Z| is closed if any x,y in G implies xy is in G
Does anyone know how i can show this?

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#2 2009-02-21 03:04:46

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: closed under multiplication

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#3 2009-02-21 03:14:54

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: closed under multiplication

If not, then please state your question carefully.

Last edited by JaneFairfax (2009-02-21 03:37:42)

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