Math Is Fun Forum

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

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#1 2009-04-08 02:20:04

LuisRodg
Real Member
Registered: 2007-10-23
Posts: 322

groups

Any help?

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#2 2009-04-08 04:26:30

Kurre
Member
Registered: 2006-07-18
Posts: 280

Re: groups

Im not sure what conjugate means, but I can maybe guess it means that x^2=1. Because that can be proved using Lagrange theorem.

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#3 2009-04-08 04:51:47

LuisRodg
Real Member
Registered: 2007-10-23
Posts: 322

Re: groups

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#4 2009-04-08 11:28:36

Avon
Member
Registered: 2007-06-28
Posts: 80

Re: groups

Show that if


then
commutes with
.

Then, using that the group has odd order, it's not too hard to show that

is the identity.

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#5 2009-04-19 08:00:09

LuisRodg
Real Member
Registered: 2007-10-23
Posts: 322

Re: groups

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#6 2009-04-19 08:24:55

LuisRodg
Real Member
Registered: 2007-10-23
Posts: 322

Re: groups

Im sorry but how do you arrive at that hint?

^ (in response to Ricky's hint which is now deleted?)

Last edited by LuisRodg (2009-04-19 08:34:18)

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#7 2009-04-19 09:37:39

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

Re: groups

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