Character table for dirhenium decacarbonyl of full non-rigid molecule group
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7-1558121693 TYP
12
2.
Basic Definitions
Let Ω bean arbitrary nonempty set its elements are referred to as
points
. A bijection (a one-to-one, onto mapping) of Ω
onto itself is called a
permutation group
on Ω. The set of all permutations of Ω forms a group,
under composition of mappings
, called the
symmetric
group
on Ω,
denoted by
sym
(Ω), and write
S
n
to
denote the special group when
n
is a positive integer and
Ω =
{1,2,...,
n
}. A permutation group is just a subgroup of asymmetric group.
A group
G
is said to be
generated
by an element
x
written
G
=
〈
x
〉
if every element in
G
can be expressed as an element of
x
.
E. Suleiman and MI. Bello / Science Forum (Journal of Pure and Applied Sciences) 16 (2019) 1 – 4
3
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