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Katsushi Waki

Publications and source records attributed to Katsushi Waki.

2 recordsLinked to original sources

Examples of plane rational curves with two Galois points in positive characteristic, II

It is proved that there exist plane rational curves of degree twelve (resp. twenty-four) with two different outer Galois points such that the Galois group at one of two Galois points is an alternating group $A_4$ (resp. a symmetric group $S_4$) of degree four, under the assumption that the characteristic of the ground field is eleven (resp. is twenty-three). For an alternating group $A_5$ of degree five, a similar existence theorem is confirmed, over a field of characteristic $59$, by GAP system.

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