An Algorithmic Approach to Fundamental Groups and Covers of Combinatorial Cell Complexes

Journal of Symbolic Computation - Tập 29 - Trang 59-77 - 2000
Sarah Rees1, Leonard H. Soicher2
1Department of Mathematics, University of Newcastle, Newcastle, NE1 7RU, U.K.
2School of Mathematical Sciences, Queen Mary and Westfield College, University of London, Mile End Road, London, E1 4NS, U.K.

Tài liệu tham khảo

Aschbacher, 1996, Combinatorial cell complexes, Adv. Stud. Pure Math., 24, 1 Aschbacher, 1990, On a conjecture of Quillen and a lemma of Robinson, Archiv. Math., 55, 209, 10.1007/BF01191159 Aschbacher, 1991, The uniqueness of groups of type J4, Inv. Math., 105, 589, 10.1007/BF01232280 Aschbacher, 1992, Extending morphisms of groups and graphs, Ann. Math., 135, 297, 10.2307/2946591 Aschbacher, 1992, Locally connected simplicial maps, Isr. J. Math., 77, 285, 10.1007/BF02773693 Aschbacher, 1993, On Quillen’s conjecture for the p -group complex, Ann. Math., 137, 473, 10.2307/2946530 Brouwer, 1989 Godsil, 1990 Havas, 1997, Integer matrix diagonalization, J. Symb. Comput., 24, 399, 10.1006/jsco.1996.0141 Ivanov, 1990, The P -geometry for M23has no non-trivial 2-coverings, Eur. J. Comb., 11, 373, 10.1016/S0195-6698(13)80139-4 Kantor, 1981, Some geometries that are almost buildings, Eur. J. Comb., 2, 239, 10.1016/S0195-6698(81)80031-5 Kantor, 1985, Some exceptional 2-adic buildings, J. Algebra, 92, 208, 10.1016/0021-8693(85)90155-3 Kantor, 1987, Some locally finite flag transitive buildings, Eur. J. Comb., 8, 429, 10.1016/S0195-6698(87)80049-5 E. H. Lo Maunder, 1980 Meixner, 1991, Some polar towers, Eur. J. Comb., 12, 397, 10.1016/S0195-6698(13)80016-9 Neubüser, 1982, An elementary introduction to coset table methods in computational group theory, 1 Pasini, 1994 Quillen, 1978, Homotopy properties of the poset of nontrivial p -subgroups of a group, Adv. Math., 28, 101, 10.1016/0001-8708(78)90058-0 Reidemeister, 1951 Ronan, 1980, Coverings of automorphisms of chamber systems, Eur. J. Comb., 1, 259, 10.1016/S0195-6698(80)80010-2 Ronan, 1984, On triangle geometries, J. Comb. Theory, Ser. A, 37, 294, 10.1016/0097-3165(84)90051-7 Schönert, 1994 Seifert, 1934 Seifert, 1980 Sims, 1994 Soicher, 1993, In GRAPE: a System for Computing with Graphs and Groups, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 11, 287, 10.1090/dimacs/011/20 Surowski, 1984, Covers of simplicial complexes and applications to geometry, Geom. Ded., 16, 35, 10.1007/BF00147420 Tits, 1981, A local approach to buildings, 519 Tits, 1986, Ensembles ordonnés, immeubles et sommes amalgamées, Bull. Soc. Math. Belg., 38, 367