question about finite groups
From: John H Palmieri (palmieri_at_math.washington.edu)
Date: 12/10/04
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Date: Thu, 09 Dec 2004 21:39:42 -0800
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.)
Presumably there are such pairs of groups?
-- J. H. Palmieri Dept of Mathematics, Box 354350 206-543-1785 University of Washington mailto:palmieri@math.washington.edu Seattle, WA 98195-4350 http://www.math.washington.edu/~palmieri/
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