To determine whether the system described is a group
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Modern Algebra
Group Theory (II)
Determine whether the system described is a group.
G = a_0, a_1, a_2, a_3,...... where
a_i.a_j = a_(i + j) if i + j < 7
and a_i.a_j = a_(i + j - 7) if i + j > or equal to 7.
(for instance, a_5.a_4 = a_(5 + 4 - 7) since 5 + 4 = 9 > 7)
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Whether or not a given system is a group is decided. The solution is detailed and well presented.
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Modern Algebra
Group Theory (II)
By:- Thokchom Sarojkumar Sinha
Determine whether the system described is a group.
where
if
and if .
(for instance, since )
Solution:- Here
where
The operation '.' in is defined as
...
Education
- BSc, Manipur University
- MSc, Kanpur University
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