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Volumn 34, Issue 1, 2002, Pages 1-19

Orbit-stabilizer problems and computing normalizers for polycyclic groups

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EID: 0036657902     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.2002.0540     Document Type: Article
Times cited : (3)

References (18)
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    • (1991) J. Algebr , vol.142 , pp. 118-149
    • Baumslag, G.1    Cannonito, F.B.2    Robinson, D.J.S.3    Segal, D.4
  • 2
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    • Some remarks on the computation of complements and normalizers in finite soluble groups
    • Celler, F., Neubüser, J., Wright, C. R. B. (1990). Some remarks on the computation of complements and normalizers in finite soluble groups. Acta Applic. Math., 21, 57-76.
    • (1990) Acta Applic. Math , vol.21 , pp. 57-76
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  • 5
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    • The orbit-stabilizer problem for linear groups
    • Dixon, J. D. (1985). The orbit-stabilizer problem for linear groups. Can. J. Math., 37, 238-259.
    • (1985) Can. J. Math , vol.37 , pp. 238-259
    • Dixon, J.D.1
  • 6
    • 0004290387 scopus 로고    scopus 로고
    • Algorithms for polycyclic groups
    • Habilitationsschrift, Universität Kassel
    • Eick, B. (2001a). Algorithms for polycyclic groups. Habilitationsschrift, Universität Kassel.
    • (2001)
    • Eick, B.1
  • 7
    • 0001852074 scopus 로고    scopus 로고
    • Computing with infinite polycyclic groups
    • Seress, A., Kantor., W. M. eds., DIMACS, 1999
    • Eick, B. (2001b). Computing with infinite polycyclic groups. In Seress, A., Kantor., W. M. eds., Groups and Computation III, DIMACS, 1999, pp. 139-153.
    • (2001) Groups and Computation III , pp. 139-153
    • Eick, B.1
  • 8
    • 0003513687 scopus 로고    scopus 로고
    • A GAP 4 package, see Gap (2000)
    • Eick, B., Nickel, W. (2000). Polycyclic. A GAP 4 package, see Gap (2000).
    • (2000) Polycyclic
    • Eick, B.1    Nickel, W.2
  • 9
    • 85031442971 scopus 로고    scopus 로고
    • On the orbit stabilizer problem for integral matrix actions of polycyclic groups
    • to appear
    • Eick, B., Ostheimer, G. (2002). On the orbit stabilizer problem for integral matrix actions of polycyclic groups. Math. Comput., to appear.
    • (2002) Math. Comput
    • Eick, B.1    Ostheimer, G.2
  • 10
    • 84992056049 scopus 로고
    • Computing intersections and normalizers in soluble groups
    • Glasby, S.P., Slattery, M. C. (1990). Computing intersections and normalizers in soluble groups. J. Symb. Comput., 9, 637-651.
    • (1990) J. Symb. Comput , vol.9 , pp. 637-651
    • Glasby, S.P.1    Slattery, M.C.2
  • 11
    • 0031616633 scopus 로고    scopus 로고
    • Finding intersection and normalizer in finitely generated nilpotent groups
    • Lo, E. H. (1998). Finding intersection and normalizer in finitely generated nilpotent groups. J. Symb. Comput., 25, 45-59.
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    • Lo, E.H.1
  • 12
    • 0031616707 scopus 로고    scopus 로고
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    • Lo, E. H. (1998). A polycyclic quotient algorithm. J. Symb. Comput., 25, 61-97.
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    • Lo, E.H.1
  • 13
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    • Practical algorithms for polycyclic matrix groups
    • Ostheimer, G. (1999). Practical algorithms for polycyclic matrix groups. J. Symb. Comput., 28, 361-379.
    • (1999) J. Symb. Comput , vol.28 , pp. 361-379
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  • 15
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    • Computing the order of a solvable permutation group
    • Sims, C. C. (1990). Computing the order of a solvable permutation group. J. Symb. Comput., 9, 699-705.
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  • 16
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    • Computation with Finitely Presented Groups
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  • 18
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    • (1997)
    • Theißen, H.1


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