Definition of nilpotent in English:
nilpotent
adjective nɪlˈpəʊt(ə)ntnilˈpōtnt
Mathematics Becoming zero when raised to some positive integral power.
Example sentencesExamples
- After completely reducible systems, the notions of solvable and nilpotent systems are discussed, where general identities are considered instead of the usual commutativity.
- He introduced the idea of a normal form which he used in the solution of the word problem for Lie rings and also for nilpotent groups.
- He showed that the Frattini subgroup is nilpotent and, in so doing, used the beautiful method of proof known today as the ‘Frattini argument‘.
- All Hirsch's publications were in group theory, in addition to the work on polycyclic groups he published on locally nilpotent groups and automorphism groups of torsion free abelian groups.
- He used the, now familiar, tools of idempotent and nilpotent elements.
Origin
Late 19th century: from nil + Latin potens, potent- 'power'.