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# Abelian Groups watch

1. Struggling with this question:

Is the statement TRUE or FALSE:
"Every group has an abelian subgroup."

Any help is much appreciated! Thanks!
2. (Original post by StatsGuru)
Struggling with this question:

Is the statement TRUE or FALSE:
"Every group has an abelian subgroup."

Any help is much appreciated! Thanks!
Just the identity element itself as a subgroup?
3. (Original post by StayWoke)
Just the identity element itself as a subgroup?
So is the identity element as a group on its own a subgroup?
e.g. if identity element=e,

e*e=e*e. Does that work?
4. (Original post by StatsGuru)
So is the identity element as a group on its own a subgroup?
e.g. if identity element=e,

e*e=e*e. Does that work?
I don't see why it wouldn't work.
5. (Original post by StatsGuru)
Struggling with this question:

Is the statement TRUE or FALSE:
"Every group has an abelian subgroup."

Any help is much appreciated! Thanks!
(Original post by StayWoke)
I don't see why it wouldn't work.
Yeah, that works. Also: <g> for any g in G is a cylic (and so, abelian) subgroup of any group G. [your one is the special case <e>]

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