例句與造句

1. This is used in both the proof and applications of the Solvable Signalizer Functor Theorem.
2. It is especially effective in the exceptional cases where components or signalizer functors are not applicable.
3. If the subgroups \ theta ( a ) are all solvable, then the signalizer functor \ theta itself is said to be solvable.
4. Thus, the Solvable Signalizer Functor Theorem can be rephrased by saying that if A has at least three generators, then every solvable A-signalizer functor on G is solvably complete.
5. Thus, the Solvable Signalizer Functor Theorem can be rephrased by saying that if A has at least three generators, then every solvable A-signalizer functor on G is solvably complete.
6. It's difficult to find signalizer in a sentence. 用signalizer造句挺難的
7. He was recognised, in addition to his own research contributions such as work on signalizer functors, as a leader in directing the classification proof, one of the largest collaborative pieces of pure mathematics ever attempted.
8. Verifying the balance condition for this \ theta under this assumption requires a famous lemma, known as Thompson's P \ times Q-lemma . ( Note, this lemma is also called Thompson's A \ times B-lemma, but the A in this use must not be confused with the A appearing in the definition of a signalizer functor !)
9. Several earlier versions of the theorem were proven : proved this under the stronger assumption that A had rank at least 5 . proved this under the assumption that A had rank at least 4 or was a 2-group of rank at least 3 . gave a simple proof for 2-groups using the ZJ theorem, and a proof in a similar spirit has been given for all primes by . gave the definitive result for solvable signalizer functors.
10. This is because if a group has sectional 2-rank at least 5 then MacWilliams showed that its Sylow 2-subgroups are connected, and the balance theorem implies that any simple group with connected Sylow 2-subgroups is either of component type or characteristic 2 type . ( For groups of low 2-rank the proof of this breaks down, because theorems such as the signalizer functor theorem only work for groups with elementary abelian subgroups of rank at least 3 .)