نتایج جستجو برای: integral group ring
تعداد نتایج: 1191884 فیلتر نتایج به سال:
We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Janko group J1. As a consequence, for this group we confirm Kimmerle’s conjecture on prime graphs.
Using the Luthar–Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group Suz. As a consequence, for this group we confirm the Kimmerle’s conjecture on prime graphs.
the author studies the $bf r$$g$-module $a$ such that $bf r$ is an associative ring, a group $g$ has infinite section $p$-rank (or infinite 0-rank), $c_{g}(a)=1$, and for every proper subgroup $h$ of infinite section $p$-rank (or infinite 0-rank respectively) the quotient module $a/c_{a}(h)$ is a finite $bf r$-module. it is proved that if the group $g$ under consideration is local...
We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL. As a consequence, we confirm for this group the Kimmerle’s conjecture on prime graphs.
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