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Capable group : ウィキペディア英語版 | Capable group In mathematics, in the realm of group theory, a group is said to be capable if it occurs as the inner automorphism group of some group. These groups were first studied by Reinhold Baer, who showed that a finite abelian group is capable if and only if it is a product of cyclic groups of orders ''n''1,...,''n''''k'' where ''n''''i'' divides ''n''''i''+1 and ''n''''k''–1=''n''''k''. == References ==
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