نتایج جستجو برای: group rings
تعداد نتایج: 1021647 فیلتر نتایج به سال:
Abstract—We study codes with a single check element derived from group rings, namely, checkable codes. The notion of a codecheckable group ring is introduced. Necessary and sufficient conditions for a group ring to be code-checkable are given in the case where the group is a finite abelian group and the ring is a finite field. This characterization leads to many good examples, among which two c...
we investigate the classical h.~zassenhaus conjecture for integral group rings of alternating groups $a_9$ and $a_{10}$ of degree $9$ and $10$, respectively. as a consequence of our previous results we confirm the prime graph conjecture for integral group rings of $a_n$ for all $n leq 10$.
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