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- W4315705842 abstract "We prove that a normal subloop $X$ of a Moufang loop $Q$ induces an abelian congruence of $Q$ if and only if each inner mapping of $Q$ restricts to an automorphism of $X$ and $u(xy) = (uy)x$ for all $x,yin X$ and $uin Q$. The former condition can be omitted when $X$ is $3$-divisible. This characterization is then used to show that classically solvable finite $3$-divisible Moufang loops are congruence solvable." @default.
- W4315705842 created "2023-01-12" @default.
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- W4315705842 date "2023-01-09" @default.
- W4315705842 modified "2023-09-25" @default.
- W4315705842 title "Congruence solvability in finite Moufang loops of order coprime to three" @default.
- W4315705842 doi "https://doi.org/10.48550/arxiv.2301.03680" @default.
- W4315705842 hasPublicationYear "2023" @default.
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