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Free-by-cyclic group : ウィキペディア英語版 | Free-by-cyclic group In group theory, a group is said to be free-by-cyclic if it has a free normal subgroup such that the quotient group : is cyclic. In other words, is free-by-cyclic if it can be expressed as a group extension of a free group by a cyclic group (NB there are two conventions for 'by'). If is a finitely generated group we say that is ''(finitely generated free)-by-cyclic'' (or (f.g. free)-by-cyclic). ==References==
* A. Martino and E. Ventura (2004), (''The Conjugacy Problem for Free-by-Cyclic Groups'' ). Preprint from the Centre de Recerca Matemàtica, Barcelona, Catalonia, Spain.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Free-by-cyclic group」の詳細全文を読む
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