26. Show that any finite subgroup of the multiplicative group of a field is cyclic.
26. Show that any finite subgroup of the multiplicative group of a field is cyclic.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
26
Please include reasons for each step. Write clearly please. Thank you!
Transcribed Image Text:26. Show that any finite subgroup of the multiplicative group of a field
is cyclic.
Expert Solution
Step 1
We use the fundamental theorem of finite abelian group.
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Solved in 2 steps with 1 images
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