I think the author uses "present" to say "generate"

Il giorno mercoledì 24 marzo 2021 alle 09:35:05 UTC+1 vdelecroix ha scritto:

> What does it mean "it presents Z5"?
>
> Le 24/03/2021 à 09:28, Mattia Villani a écrit :
> > That matrix comes from the paper by J.Hempel: "Homology of covering" Pac.
> > J. Math. vol 112 (1984) 83, example 5.2.
> > The author says that it presents Z5
> > 
> > Il giorno mercoledì 24 marzo 2021 alle 08:50:18 UTC+1 vdelecroix ha 
> scritto:
> > 
> >> Your matrix has determinant 4 - 9 = -5. Hence, the group it generates
> >> in GL(2,QQ) is necessarily infinite.
> >>
> >> Le 24/03/2021 à 08:47, Mattia Villani a écrit :
> >>> I do not have real code, only a matrix:
> >>>
> >>> matrix([[1,-3],[-3,4]])
> >>>
> >>> which should be a representation of the group Z5: I want to verify it
> >> with
> >>> Sage
> >>>
> >>> Il giorno martedì 23 marzo 2021 alle 17:18:12 UTC+1 [email protected] 
> ha
> >>> scritto:
> >>>
> >>>> On Tue, Mar 23, 2021 at 2:00 PM Mattia Villani <[email protected]>
> >> wrote:
> >>>>>
> >>>>> Is is possible to find the group given the matrix presentation?
> >>>>
> >>>> Please be more specific. Post some Sage commands you're trying.
> >>>>
> >>>>>
> >>>>> --
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> https://groups.google.com/d/msgid/sage-support/348e69d5-b3a5-45c4-a7ec-baed9213f6dcn%40googlegroups.com
> >>>> .
> >>>>
> >>>
> >>
> > 
>

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