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http://dx.doi.org/10.4134/BKMS.2015.52.4.1353

ON SOME SUBGROUPS OF D* WHICH SATISFY A GENERALIZED GROUP IDENTITY  

BIEN, MAI HOANG (DEPARTMENT OF BASIC SCIENCES UNIVERSITY OF ARCHITECTURE)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 1353-1363 More about this Journal
Abstract
Let D be a division ring and w($x_1,\;x_2,\;{\ldots},\;x_m$) be a generalized group monomial over $D^*$. In this paper, we investigate subnormal subgroups and maximal subgroups of $D^*$ which satisfy the identity $w(x_1,\;x_2,\;{\ldots},\;x_m)=1$.
Keywords
division ring; subnormal subgroup; maximal subgroup; generalized group identity; group identity;
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