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    Struggling with this question:

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

    Any help is much appreciated! Thanks!
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    (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?
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    (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?
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    (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.
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    (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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