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- W4241552092 abstract "We characterize the structure of the normal subgroup lattice of $2$-transitive automorphism groups $A(Omega )$ of infinite chains $(Omega , leqslant )$ by the structure of the Dedekind completion $(bar Omega , leqslant )$ of the chain $(Omega , leqslant )$. As a consequence we obtain various group-theoretical results on the normal subgroups of $A(Omega )$, including that any proper subnormal subgroup of $A(Omega )$ is indeed normal and contained in a maximal proper normal subgroup of $A(Omega )$, and that $A(Omega )$ has precisely $5$ normal subgroups if and only if the coterminality of the chain $(Omega , leqslant )$ is countable." @default.
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- W4241552092 date "1985-08-01" @default.
- W4241552092 modified "2023-09-25" @default.
- W4241552092 title "Normal Subgroups of Doubly Transitive Automorphism Groups of Chains" @default.
- W4241552092 doi "https://doi.org/10.2307/2000304" @default.
- W4241552092 hasPublicationYear "1985" @default.
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