Let G be a finite group and p be an odd prime number. Show that G can not have exactly p elements of order p.
Let G be a finite group and p be an odd prime number. Show that G can not have exactly p elements of order p.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 8E
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Transcribed Image Text:Let G be a finite group and p be an odd prime number. Show that G can
not have exactly p elements of order p.
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