Re: [math-fun] Non-isomorphic finite simple groups of the same order
On 7/17/2011 8:06 PM, Dan Asimov wrote:
According to this website:< http://www.madore.org/~david/math/simplegroups.html>, the smallest order for which there are more than one isomorphism class of finite simple groups is 2160.
That's 20160.
One must also say NON-CYCLIC simple groups. See A119648 in the OEIS. Neil
On Thu, Aug 11, 2011 at 11:03 PM, N. J. A. Sloane <njas@research.att.com> wrote:
On 7/17/2011 8:06 PM, Dan Asimov wrote:
According to this website:< http://www.madore.org/~david/math/simplegroups.html>, the smallest order for which there are more than one isomorphism class of finite simple groups is 2160.
That's 20160.
One must also say NON-CYCLIC simple groups. See A119648 in the OEIS.
Why must one say that? Seems to me the sequence is exactly the same whether you specify non-cyclic or not. If N is composite, the cyclic group of order N is not simple. If N is prime, there is a cyclic simple group of order N, but no other simple group (indeed, no other group!) of order N. Andy
Neil
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