dual group


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dual group

[¦dü·əl ′grüp]
(mathematics)
The group of all homomorphisms of an Abelian group G into the cyclic group of order n, where n is the smallest integer such that gn is the identity element of G.
References in periodicals archive ?
15 Wolverhampton SP forecast 2-1 Half-sister to dual Group 1 winner Ask.
Dermot Weld is expected to run Zannda, while the Prix de l'Opera is the target for Jim Bolger's dual Group 1 winner Pleascach.
A dual Group Two winner in Dubai, he made good late headway to suggest he may win next time, possibly in the Hungerford Stakes at Newbury.
Dassault Aviation understands both defense and economic needs because it is a dual group, producing military aircraft (Rafale, drones) and business aircraft (the Falcons) in the same design office and the same production plants.
While the majority of his Sandown opponents were in action at Royal Ascot, Robert Cowell's dual Group One winner skipped the summer showpiece meeting and makes his first appearance since finishing third in Haydock's Temple Stakes in May.
The dual Group Three scorer had finished a close third to Duntle in the Duke of Cambridge Stakes and went two places better under a canny Ryan Moore ride.
The dual Group Three scorer had finished a close third to Duntle in the Duke of Cambridge Stake and went two places better under a canny Ryan Moore ride.
He is already a dual Group 1 winner, his form puts him ahead of these rivals and seven furlongs on soft ground is ideal for him.
Winner of seven of his 14 starts Vertigineux impressed on his only Dubai start to date and is a dual group 3 winner in his native France.
French handler Freddie Head is set to be represented by dual Group One winner Tamayuz, while he has also supplemented Racinger who looks likely to be used as a pacemaker.
Kingsgate Native quashed any feeling he was just a one-hit wonder as John Best's colt became a dual Group One winner in the Golden Jubilee Stakes at Royal Ascot.
While she was beaten six lengths in Listed grade last time, Fann had a few of these behind her and then, sent off at 100-1 at Royal Ascot, Fann finished a close fourth behind dual Group One winner Nannina.