Suppose and belong to a group, has odd order, and . Show that . I have a feeling I'm missing something obvious, but I can't for the life of me figure out what having odd order has to do with this.
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Originally Posted by spoon737 Suppose and belong to a group, has odd order, and . Show that . I have a feeling I'm missing something obvious, but I can't for the life of me figure out what having odd order has to do with this. 1) . 2) . 3) . 4) . The pattern is obvious: and . Let be order of then .
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