Let G be the subgroup of GL3(Z₂) defined by the set 100 a 10 bc1 such that a, b, c Z₂. Show that G is isomorphic to a known group of order 8.

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Chapter2: Second-order Linear Odes
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100
a 1 0
b c
Let G be the subgroup of GL3(Z2) defined by the set
such
that a, b, c e Z2. Show that G is isomorphic to a known group of order 8.
Transcribed Image Text:100 a 1 0 b c Let G be the subgroup of GL3(Z2) defined by the set such that a, b, c e Z2. Show that G is isomorphic to a known group of order 8.
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