Permutation Groups Generated by γ-Cycles

被引：0
作者：
Diaconescu, Razvan [1 ]
机构：
[1] Romanian Acad, Simion Stoilow Inst Math, Bucharest 010702, Romania
来源：
AXIOMS | 2022年 / 11卷 / 10期
关键词：
permutation groups; experimental mathematics; preordered algebra; rewriting;
D O I：
10.3390/axioms11100528
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A gamma-cycle is a cycle of the form (i+1, i+2, ... , i+m) in the symmetric group S-n. We study the subgroups of S-n generated by several sets of gamma-cycles. Our mathematical development is strongly supported by computational experiments and proofs based on do-it-yourself programming with the logic-based language Maude.
引用
收藏
页数：16
相关论文
共 50 条
  • [31] Addendum - Vector invariants of permutation groups in characteristic zero
    Reimers, Fabian
    Sezer, Muefit
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2025, 36 (05)
  • [32] Permutation Groups and Set-Orbits on the Power Set
    Yanxiong Yan
    Yong Yang
    Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 (1) : 177 - 199
  • [33] THE NUMBER OF SET ORBITS OF PERMUTATION GROUPS AND THE GROUP ORDER
    Gintz, Michael
    Keller, Thomas M.
    Kortje, Matthew
    Wang, Zili
    Yang, Yong
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2022, 106 (01) : 89 - 101
  • [34] Non-Linear Permutation Groups on Physarum Polycephalum
    Schumann, Andrew
    2014 2ND INTERNATIONAL CONFERENCE ON SYSTEMS AND INFORMATICS (ICSAI), 2014, : 246 - 251
  • [35] EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION
    Praeger, Cheryl E.
    Schneider, Csaba
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 92 (01) : 127 - 136
  • [36] ON REGULAR ORBITS OF ELEMENTS OF CLASSICAL GROUPS IN THEIR PERMUTATION REPRESENTATIONS
    Emmett, L.
    Zalesski, A. E.
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (09) : 3356 - 3409
  • [37] Identifying Cartesian decompositions preserved by transitive permutation groups
    Baddeley, RW
    Praeger, CE
    Schneider, C
    ALGEBRA COLLOQUIUM, 2004, 11 (01) : 1 - 10
  • [38] Splicing Systems over Permutation Groups of Length Two
    Hamzah, N. Z. A.
    Sebry, N. A. Mohd
    Fong, W. H.
    Sarmin, N. H.
    Turaev, S.
    MALAYSIAN JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES, 2012, 8 (02): : 83 - 88
  • [39] Finitary representations and images of transitive finitary permutation groups
    Leinen, F
    Puglisi, O
    JOURNAL OF ALGEBRA, 1999, 222 (02) : 524 - 549
  • [40] Permutation Groups and Set-Orbits on the Power Set
    Yan, Yanxiong
    Yang, Yong
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (01) : 177 - 199
12345