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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




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: > > > > > > > > > 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 .



