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Normal elements of noncommutative Iwasawa algebras over SL3(ℤ_p).
- Source :
-
Forum Mathematicum . Jan2019, Vol. 31 Issue 1, p111-147. 37p. - Publication Year :
- 2019
-
Abstract
- Let p be a prime integer and let ℤ p {\mathbb{Z}_{p}} be the ring of p-adic integers. By a purely computational approach we prove that each nonzero normal element of a noncommutative Iwasawa algebra over the special linear group SL 3 (ℤ p) {\mathrm{SL}_{3}(\mathbb{Z}_{p})} is a unit. This gives a positive answer to an open question in [F. Wei and D. Bian, Erratum: Normal elements of completed group algebras over SL n (ℤ p) \mathrm{SL}_{n}(\mathbb{Z}_{p}) [mr2747414], Internat. J. Algebra Comput. 23 2013, 1, 215] and makes up for an earlier mistake in [F. Wei and D. Bian, Normal elements of completed group algebras over SL n (ℤ p) \mathrm{SL}_{n}(\mathbb{Z}_{p}) , Internat. J. Algebra Comput. 20 2010, 8, 1021–1039] simultaneously. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09337741
- Volume :
- 31
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Forum Mathematicum
- Publication Type :
- Academic Journal
- Accession number :
- 134114408
- Full Text :
- https://doi.org/10.1515/forum-2018-0034