presentetion of Prüfer group

charlamov

How would you prove that [itex] < x_1,x_2 ... | [ x_i , x_j ] =1, i,j \in N , x_1 ^ p = 1, x_{i+1} ^p = x_i , i \in N > [/itex] is presentation of [itex] Z_{p^ \infinity} [/itex]

*DonAntonio*

Quote by charlamov

How would you prove that [itex] < x_1,x_2 ... | [ x_i , x_j ] =1, i,j \in N , x_1 ^ p = 1, x_{i+1} ^p = x_i , i \in N > [/itex] is presentation of [itex] Z_{p^ \infinity} [/itex]

Well, why won't you first tell us what is your definition of the Prüfer group, so that we all will know what's needed to prove?

DonAntonio

micromass

Charlamov, you first need to show us what you tried before we can help.

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charlamov	presentetion of Prüfer group Tweet How would you prove that [itex] < x_1,x_2 ... \| [ x_i , x_j ] =1, i,j \in N , x_1 ^ p = 1, x_{i+1} ^p = x_i , i \in N > [/itex] is presentation of [itex] Z_{p^ \infinity} [/itex]

micromass Blog Entries: 8 Recognitions: Gold Member Science Advisor Staff Emeritus	Charlamov, you first need to show us what you tried before we can help.