The normal subgroup lattice of wreath product of a permutation group with an abstract group (in Ukrainian) |
|
| Author |
|
| Abstract |
In the terms of the amalgamated unions of partially ordered sets,
we characterize the structure of the normal subgroup lattice of
wreath product of a permutation group with an abstract group.
|
| Keywords |
amalgamated unions, partially ordered sets, normal subgroup lattice, wreath product, permutation group, abstract group
|
| DOI |
doi:10.30970/ms.12.2.127-134
|
Reference |
1. Холл М. Теория групп. – М.: ИЛ, 1962. – 468с.
2. Crouch R. Monomial groups Trans. Amer. Math. Soc. – 1955, V.80. – P.187–215. 3. Gray A. Normal subgroups of monomial groups Pasif. J. Math. – 1962. – V.12. – P.527–532. 4. Kaloujnine L. La structure de $p$-groupe de Sylow du groupe symmetrique du degre $p^2$ C.R. de l'Acad. des Sc. de Paris. -- 1945. -- V.222. -- P.1424--1425. 5. Meldrum J. Wreath product. – London, 1995. – 322 p. 6. Neumann P. On the structure of standard wreath products of groups Math. Z. – 1964. – V.84. – P.343–373. 7. Ore O. Theory of monomial groups Trans. Amer. Math. Soc. – 1942. – V.51. – P.15–64. |
| Pages |
127-134
|
| Volume |
12
|
| Issue |
2
|
| Year |
1999
|
| Journal |
Matematychni Studii
|
| Full text of paper | |
| Table of content of issue |