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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
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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26. Show that any finite subgroup of the multiplicative group of a field is cyclic.
Transcribed Image Text:26. Show that any finite subgroup of the multiplicative group of a field is cyclic.
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We use the fundamental theorem of finite abelian group.

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