arXiv subjects

Hanyue Yi

Publications and source records attributed to Hanyue Yi.

3 recordsLinked to original sources

arXiv2026

A classification of vertex-reversing maps with Euler characteristic coprime to the edge number

An arc-regular map is \emph{vertex-reversing} if the automorphism group has dihedral vertex stabilizers. This paper classifies solvable vertex-reversing maps whose Euler characteristic is coprime to the edge number. The classification establishes that such maps fall into four families: $\D_{2n}$-maps, $(\D_{2m}\times\D_{2n})$-maps, $(\ZZ_{mn\ell}{:}\D_4)$-maps, and $(\ZZ_{3^f n}.§_4)$-maps, with the parameters specified in the main theorem. Moreover, for each family, we provide an explicit formula for the Euler characteristic.

math.GR↗

arXiv2025

Finite imprimitive rank $3$ affine groups -- I

This is one of a series of papers which aims towards a classification of imprimitive affine groups of rank $3$. In this paper, a complete classification is given of such groups of characteristic $p$ such that the point stabilizer is not $p$-local, which shows that such groups are very rare, namely, the two non-isomorphic groups of the form $2^4{:}\mathrm{GL}_3(2)$ with a unique minimal normal subgroup are the only examples.

math.GR↗

arXiv2025

Finite semiprimitive permutation groups of rank $3$

A transitive permutation group is said to be semiprimitive if each of its normal subgroups is either semiregular or transitive.The class of semiprimitive groups properly contains primitive groups, quasiprimitive groups and innately transitive groups.The latter three classes of groups of rank $3$ have been classified, forming significant progresses on the long-standing problem of classifying permutation groups of rank $3$.In this paper, a complete classification is given of finite semiprimitive groups of rank $3$ that are not innately transitive, examples of which are certain Schur coverings of certain almost simple $2$-transitive groups, and three exceptional small groups.

math.GR↗