How to Use abelian in a Sentence

abelian

adjective

• However, the e/4 measurement does not prove non-Abelian order.
  — Rupendra Brahambhatt, Interesting Engineering, 27 Sep. 2026
• In algebra, meanwhile, an important category is that of abelian groups — groups that have useful symmetries.
  — Konstantin Kakaes, Quanta Magazine, 20 May 2026
• Fractional charge alone cannot establish whether the underlying state is actually non-Abelian.
  — Rupendra Brahambhatt, Interesting Engineering, 27 Sep. 2026
• Both Abelian and non-Abelian candidate states can produce quasiparticles with e/4 charge, so charge measurements alone cannot distinguish between them.
  — Rupendra Brahambhatt, Interesting Engineering, 27 Sep. 2026
• But topological abelian groups lack the particular properties that category theorists desire.
  — Konstantin Kakaes, Quanta Magazine, 20 May 2026
• If non-Abelian statistics are eventually confirmed, the ν = 1/2 state could become an important platform for exploring quantum information stored in collective properties rather than individual particles.
  — Rupendra Brahambhatt, Interesting Engineering, 27 Sep. 2026