- #1
kathrynag
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Homework Statement
Partition the following collection of groups into subcollections of isomorphic groups. a * superscript means all nonzero elements of the set.
integers under addition
[tex]S_{2}[/tex]
[tex]S_{6}[/tex]
[tex]integer_{6}[/tex]
[tex]integer_{2}[/tex]
[tex]real^{*}[/tex] under multiplication
[tex]real^{+}[/tex] under multiplication
[tex]rational^{*}[/tex] under multiplication
[tex]complex^{*}[/tex] under multiplication
17(integer) under addition
rational under addition
The subgroup (pi) of [tex]real^{*}[/tex] under multiplication
3(integer) under multiplication
real under addition
The subgroup G of [tex]S_{5}[/tex] generated by :
top row:(1 2 3 4 5)
bottom row (3 5 4 1 2)
Homework Equations
The Attempt at a Solution
i don't understand the question and what this has to do with the permutation chapter in the book.