On some subgroups of $D^*$ which satisfy a generalized group identity
Bull. Korean Math. Soc. 2015 Vol. 52, No. 4, 1353-1363
https://doi.org/10.4134/BKMS.2015.52.4.1353
Published online July 31, 2015
Mai Hoang Bien
University of Architecture
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
MSC numbers : 16K99, 16R99, 20E28, 20D35
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