6. Prove that if G is a group of order 231 and H€ Syl₁(G), then H≤ Z(G). me

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 15E: 15. Prove that if for all in the group , then is abelian.
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6. Prove that if G is a group of order 231 and H Syl₁(G), then
H≤ Z(G).
me
Transcribed Image Text:6. Prove that if G is a group of order 231 and H Syl₁(G), then H≤ Z(G). me
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