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dicycli
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There are 7 letters in DICYCLI ( C3D2I1L1Y4 )
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DICYCLI - In group theory, a dicyclic group (notation Dicn or Q4n) is a member of a class of non-abelian groups of order 4n (n > 1). It is an extension of th...
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In group theory, a Dicyclic group (notation Dicn or Q4n) is a member of a class of non-abelian groups of order 4n (n > 1). It is an extension of the cyclic group of order 2 by a cyclic group of order 2n, giving the name di-cyclic. In the notation of exact sequences of groups, this extension can be expressed as:* * * * 1 * → * * C * * 2 * n * * * → * * * * Dic * * * * n * * * → * * C * * 2 * * * → * 1. * * * * {\displaystyle 1\to C_{2n}\to {\mbox{Dic}}_{n}\to C_{2}\to 1.\,} * More generally, given any finite abelian group with an order-2 element, one can define a dicyclic group. |