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Topic: Let G be a group , N a normal subgroup of G
Replies: 13   Last Post: Feb 6, 2013 6:11 AM

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 dan.ms.chaos@gmail.com Posts: 409 Registered: 3/1/08
Re: Yes
Posted: Feb 5, 2013 11:05 AM

On Feb 5, 4:24 pm, Robin Chapman <R.J.Chap...@ex.ac.uk> wrote:
> On 05/02/2013 14:08, Dan wrote:
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> > On Feb 5, 3:45 pm, Robin Chapman <R.J.Chap...@ex.ac.uk> wrote:
> >> On 05/02/2013 13:27, Dan wrote:
>
> >>> Does there always exist a subgroup H of G such that G = NH  , and
> >>> (H intersection N) = the identity element?

>
> > Can you provide an example?

Fun fact :If the set of possible answers is infinite , and person T (T
stands for troll) claims to have one ,then person B cannot determine
for sure using only yes or no questions . Each question is a function
from the set of remaining answers to {Yes,No} . Provided that the set
is infinite , either the inverse image to Yes or the inverse image of
No is infinite . There exists a sequence of choices as answers of T
such that the set of 'remaining valid answers' always remains
infinite , thereby always giving the impression of knowledge of an
answer , while ensuring for a fact that such an answer does not
exist .