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Q2: G is alelin 9Youp Wth idntler e. Shu subset {XEG=e3 is a Sabyrap of G

Q2: G is alelin 9Youp Wth idntler e. Shu subset {XEG=e3 is a Sabyrap of G

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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help me understand the concept. When we check something is a subgroup，we need ckeck it is closed under binary operation. What is the binary operation in this question. For example，let x and y in h，we need check x operates y is under closed. why we should check （xy）^3 = e ，is it xy are x multiplying y？please help me analyze this.
proof - clearly, H is non e e H as empty Let X,y EH x°= e, y°-e Fist we show that, if xryEH then y EH consider, (xy) = 2.f (xy).(xy). (ry) =(x(yx).y).(&y) by associa tive properly of G (xx. yy). (xy) Gis abelian xy = yX :-
Transcribed Image Text:proof - clearly, H is non e e H as empty Let X,y EH x°= e, y°-e Fist we show that, if xryEH then y EH consider, (xy) = 2.f (xy).(xy). (ry) =(x(yx).y).(&y) by associa tive properly of G (xx. yy). (xy) Gis abelian xy = yX :-
G is akelin gYoup With idatler e. Sh subset {XEGIX=0} is a Sabgrap of G
Transcribed Image Text:G is akelin gYoup With idatler e. Sh subset {XEGIX=0} is a Sabgrap of G
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