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Clash Royale CLAN TAG #URR8PPP 由兩個元素a, b 生成的自由群的凱萊圖 在數學中,一個群 Gdisplaystyle G 被稱作 自由群 ,如果存在 Gdisplaystyle G 的子集 Sdisplaystyle S 使得 Gdisplaystyle G 的任何元素都能唯一地表成由 Sdisplaystyle S 中元素及其逆元組成之乘積(在此不論平庸的表法,例如 st−1=su−1ut−1displaystyle st^-1=su^-1ut^-1 之類);此時也稱 Gdisplaystyle G 為集合 Sdisplaystyle S 上的 自由群 ,其群...