Re: How many finite groups?


Proginoskes wrote:
Jason Pawloski wrote:
Up to isomorphism, how many finite groups are there? I assume the
answer is countable, and someone showed me a proof a long time ago that
involved counting subgroups or some such thing, but I didn't really
understand it at the time?

This looks like a job for ... OEIS! (The Online Encyclopedia of Integer
Sequences, at http://www.research.att.com/~njas/sequences/ )

And the sequence in the OEIS which counts the number of groups of order
n is ... A000001:

http://www.research.att.com/~njas/sequences/A000001

--- Christopher Heckman

Isn't this, in general, unknown? For instance how many groups of order
2^10 there are?

Jason

.

Relevant Pages

  • Re: How many finite groups?
    ... Proginoskes wrote: ... involved counting subgroups or some such thing, ... Sequences, at http://www.research.att.com/~njas/sequences/) ... And the sequence in the OEIS which counts the number of groups of order ...
    (sci.math)
  • Re: How many finite groups?
    ... Proginoskes wrote: ... involved counting subgroups or some such thing, ... Sequences, at http://www.research.att.com/~njas/sequences/) ... And the sequence in the OEIS which counts the number of groups of order ...
    (sci.math)
  • Re: How many finite groups?
    ... Proginoskes wrote: ... involved counting subgroups or some such thing, ... Sequences, at http://www.research.att.com/~njas/sequences/) ... And the sequence in the OEIS which counts the number of groups of order ...
    (sci.math)
  • Re: How many finite groups?
    ... Jason Pawloski wrote: ... involved counting subgroups or some such thing, ... Sequences, at http://www.research.att.com/~njas/sequences/) ... And the sequence in the OEIS which counts the number of groups of order ...
    (sci.math)
  • Re: How many finite groups?
    ... Sequences, at http://www.research.att.com/~njas/sequences/) ... And the sequence in the OEIS which counts the number of groups of order ... nonisomorphic groups of orderp p^7 there are when p is odd. ... think the number of nonisomorphic groups of order 3^10 is known. ...
    (sci.math)