Re: English question...




"William Elliot" <marsh@xxxxxxxxxxxxxxxxxx> wrote in message
news:Pine.BSI.4.58.0707152322070.24766@xxxxxxxxxxxxxxxxxxxx
On Mon, 16 Jul 2007, mina_world wrote:

Show that a group G with at least two elements but with
no proper nontrivial subgroups must be finite and
of prime order.

I want to know what the word "but with" means ?
is these "but" meaningless ?

'But' is a conjunction like 'and'. However 'but' denotes some contrast.
For example, 'but' could be rendered 'and on the other hand', or 'and
contrarily', or 'and in contrast'. I'd translate this usage as

Show that a group G with at least two elements and with no proper
nontrival subgroup, must be finite and of prime order.

For reference, I can show it.
Anyway, group G must be cyclic by assumption.

That was not any of the assumptions. It's to be shown G is cyclic.

Yes...
Are you really come back ?
Anyway, It's nice to hear your advice again.
Thank you very much...and hagman, galathaeam, too.


.



Relevant Pages

  • Re: English question...
    ... However 'but' denotes some contrast. ... I'd translate this usage as ... must be finite and of prime order. ... G has proper nontrivial subgroups. ...
    (sci.math)
  • Re: English question...
    ... of prime order. ... If |G| is infinite, then G~Z. ... G has proper nontrivial subgroups. ... so, contradiction. ...
    (sci.math)
  • English question...
    ... of prime order. ... If |G| is infinite, then G~Z. ... G has proper nontrivial subgroups. ... so, contradiction. ...
    (sci.math)