| | Visible Mathematics, continued
Today's mathematical birthdays:
Saunders Mac Lane, John Venn,
and Sir William Rowan Hamilton.
It is well known that the quaternion group
is a subgroup of GL(2,3), the general linear group on the 2-space over GF(3), the 3-element Galois field.
The figures below illustrate this fact.
Related material: Visualizing GL(2,p)
"The typical example of a finite group is GL(n,q), the
general linear
group of n dimensions over the field with q elements. The student who
is introduced to the subject with other examples is being completely
misled."
-- J. L. Alperin, book review,
Bulletin (New Series) of the American
Mathematical Society 10
(1984), 121
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| | Posted 8/4/2005 1:00 PM - 0 comments
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