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- W2963882889 abstract "It is already known that the automorphism group of a chiral polyhedron is never isomorphic to ( PSL left( 2,qright) ) or ( PGL left( 2,qright) ) for any prime power q. In this paper, we show that ( PSL left( 2,qright) ) and ( PGL left( 2,qright) ) are never automorphism groups of chiral polytopes of rank at least 5. Moreover, we show that ( PGL left( 2,qright) ) is the automorphism group of at least one chiral polytope of rank 4 for every (qge 5). Finally, we determine for which values of q the group ( PSL left( 2,qright) ) is the automorphism group of a chiral polytope of rank 4, except when (q=p^dequiv 3pmod {4}) where (d>1) is not a prime power, in which case the problem remains unsolved." @default.
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- W2963882889 date "2017-01-03" @default.
- W2963882889 modified "2023-10-12" @default.
- W2963882889 title "Projective linear groups as automorphism groups of chiral polytopes" @default.
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- W2963882889 doi "https://doi.org/10.1007/s00022-016-0367-6" @default.
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