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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 G is said to be free-by-cyclic if it has a free normal subgroup F such that the quotient group
: G/F
is cyclic.
In other words, G 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 F is a finitely generated group we say that G 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)
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