Consider from the b the Symmetric group. 1 2 3 5 6 7 7 5 4 1 2 36 3 5 6 = 3 7 15 a) Express each of g o disjoint cycles. 2 b) Calculate g o dispoint cycles. L - following permutations. S. ! 6 2 4 4 and тог 7 7 2 and and as products 6 of T as product
Consider from the b the Symmetric group. 1 2 3 5 6 7 7 5 4 1 2 36 3 5 6 = 3 7 15 a) Express each of g o disjoint cycles. 2 b) Calculate g o dispoint cycles. L - following permutations. S. ! 6 2 4 4 and тог 7 7 2 and and as products 6 of T as product
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 20E: Consider the group U9 of all units in 9. Given that U9 is a cyclic group under multiplication, find...
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Transcribed Image Text:Consider
from the
=
the following
Symmetric group.
permutations
S 1
7
1
2
3
5
6
7
7 5
4 1
236
1
2
3
4
=
6 3 7
each
a) Express.
of
of disjoint cycles...
2
S
b) Calculate
J
g disjoint cycles.
д
ㅂ
4
5 6
15 2
and
тог
and
and
as products.
a
6
L--
T
as product
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