On a factorization of an iterated wreath product of permutation groups

被引:0
作者
Bajorska, Beata [1 ]
Sushchansky, Vitaliy [1 ]
机构
[1] Silesian Tech Univ, Inst Math, Kaszubska 23, PL-44100 Gliwice, Poland
来源
ALGEBRA & DISCRETE MATHEMATICS | 2014年 / 18卷 / 01期
关键词
iterated wreath product of permutation groups; factorization of groups; profinite groups;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that if each group of permutations (G(i), M-i), i is an element of N has a factorization then their infinite iterated wreath product (sic) G(i) also has a factorization. We discuss some properties of this factorization and give examples.
引用
收藏
页码:14 / 26
页数:13
相关论文
共 12 条
  • [1] Ballester-Bolinches A., 2010, DEGRUYTER EXPOSITION, V53
  • [2] Grigorchuk R. I., 2000, P STEKLOV I MATH+, V231, P128
  • [3] Hall P, 1937, P LOND MATH SOC, V43, P316
  • [4] Kaloujnine L., 1951, ACTA MATH ACAD SCI H, P197
  • [5] Kaluznin L.A., 1973, T MOSK MAT OBSHCH, P147
  • [6] Krasner M., 1951, ACTA SCI MATH SZEGED, P39
  • [7] Rozhkov A.V., 1986, MAT SBORNIK, V171, P422
  • [8] Sushchanski V. I, 1995, ST PETERSB MATH J, V6, P173
  • [9] Sushchanskii V.I., 1989, MAT SBORNIK, V180, P1073
  • [10] Szep Jeno, 1950, ACTA SCI MATH, V12, P57