Construction of chiral 4-polytopes with alternating or symmetric automorphism group

Author:

Conder Marston,Hubard Isabel,O’Reilly-Regueiro Eugenia,Pellicer Daniel

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Reference13 articles.

1. Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system I: the user language. J. Symb. Comput. 24, 235–265 (1997)

2. Conder, M.D.E.: Chiral $$4$$ 4 -polytopes of type $$\{3,3, k\}$$ { 3 , 3 , k } with automorphism group $$A_n$$ A n and $$S_n$$ S n for small $$n$$ n . www.math.auckland.ac.nz/~conder/chiral4-polytopes/ .

3. Conder, M., Hubard, I., Pisanski, T.: Constructions for chiral polytopes. J. Lond. Math. Soc. 77, 115–129 (2008).

4. Hartley, M., Hubard, I., Leemans, D.: Two atlases of abstract chiral polytopes for small groups. Math. Contemp. 5, 371–382 (2012)

5. Leemans, D., Vauthier, L.: An atlas of abstract regular polytopes for small groups. Aequationes Math. 72, 313–320, (2006). See also www.math.auckland.ac.nz/~dleemans/polytopes/ .

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