Normal elements of noncommutative Iwasawa algebras over SL3(Zp)

作者：Han, Dong; Wei, Feng^*

来源：Forum Mathematicum, 2019, 31(1): 111-147.

DOI：10.1515/forum-2018-0034

• Iwasawa algebra
• normal element
• SL3(Z(p))

Let p be a prime integer and let 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 SL3(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 SLn(Z(p)) [mr2747414], Internat. J. Algebra Comput. 23 (2013), no. 1, 215] and makes up for an earlier mistake in [F. Wei and D. Bian, Normal elements of completed group algebras over SLn(Z(p)), Internat.J.Algebra Comput. 20 (2010), no. 8, 1021-1039] simultaneously.

• 出版日期2019-1
• 单位北京理工大学; 河南理工大学