Word values in p-adic and adelic groups

Nir Avni, Tsachik Gelander, Martin Kassabov, Aner Shalev

Research output: Contribution to journalArticlepeer-review


Word values and word width in finite simple groups were studied extensively in recent years. In this paper, we study similar problems for simple algebraic groups over the p-adic integers, and sometimes over general local rings. In particular, under some conditions, we establish width 3 results for arbitrary words, as well as partial analogs of Ore conjecture on commutators.

Original languageAmerican English
Pages (from-to)1323-1330
Number of pages8
JournalBulletin of the London Mathematical Society
Issue number6
StatePublished - Dec 2013

All Science Journal Classification (ASJC) codes

  • General Mathematics


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