Re: question about finite groups

From: Ted Hwa (hwatheod_at_xenon.Stanford.EDU)
Date: 12/10/04 

Date: Fri, 10 Dec 2004 05:48:21 +0000 (UTC)

John H Palmieri <palmieri@math.washington.edu> wrote:
: What is the smallest number n so that there are two non-isomorphic
: groups of order n, but with the orders of all of the elements being
: equal? (That is, I would like two non-isomorphic finite groups G and
: H, so that there is a (necessarily non-homomorphism) bijection
: f: G --> H so that

: order of x = order of f(x)
:
: for all x in G.)

According to

http://www.math.niu.edu/~rusin/known-math/99/same_orders

it's order n=16.

Ted

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