Let G be a group. Consider H = {h € G| hg = gh for all g e G}. Then which one of the following is correct? (a) H contains the identity element ec of G. (b) H is closed under the group multiplication. (c) If he H, then h- e H. (d) All of the above

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ISBN:9780470458365
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Which answer is correct?

Let G be a group. Consider H = {h E G | hg = gh for all g e G}. Then
which one of the following is correct?
(a) H contains the identity element ec of G.
(b) H is closed under the group multiplication.
(c) If he H, then h- e H.
(d) All of the above
Transcribed Image Text:Let G be a group. Consider H = {h E G | hg = gh for all g e G}. Then which one of the following is correct? (a) H contains the identity element ec of G. (b) H is closed under the group multiplication. (c) If he H, then h- e H. (d) All of the above
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