Team Quanta gladly presents all short questions of Methods of Mathematical Physics – I’s Chapter#4: Group Theory.
Q.1 Write the identity conditions of semi-group.
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Q.2 Which representation is faithful homomorphism?
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Q.3 Define unitary group.
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Q.4 Differentiate between unit element and inverse property.
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Q.5 What is cyclic group?
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Q.6 Draw a tale of Abelian group for $S=\left{0,1,2,3\right},\ \ (S,\bigoplus)$ is a group.
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Q.7 What is the inverse of an if $\left(Z,\ \ast\right)$ is a group with a * b=a+b+1 ∀ a,b ∈ Z.
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Q.8 How original representation becomes reducible?
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Q.9 Write three fold symmetry axis.
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Q.10 What is the identity element in the group G={2,4,6,8} under multiplication module 10?
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