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JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 2017 Volume 23, Issue 1, Pages 7–15 (Mi adm593)
RESEARCH ARTICLE

On representations of the group of order two over local factorial rings in the weakly modular case

V. Bondarenkoa, M. Stoikab

a Institute of Mathematics, Tereshchenkivska 3, 01601 Kyiv, Ukraine
b Department of Mathematics and Informatics, Ferenc Rakoczi II Transcarpathian Hungarian Institute, Kossuth square 6, 90200 Beregovo, Ukraine

Abstract: We study representations of the group of order $2$ over local factorial rings of characteristic not $2$ with residue field of characteristic $2$. The main results are related to a sufficient condition of wildness of groups.

Keywords: free algebra, factorial ring, maximal ideal, perfect representation, wild group.

MSC: 20C15, 20C20, 16G60

Received: 14.02.2017

Language: English



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