Geodesic
Note on Generalized Schreier Extensions of Groups
Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 43-47

Voir la notice de l'article provenant de la source Cambridge

DOI

By a (generalized) Schreier extension we mean a group G decomposed into a subinvariant series Gn ↣ Gn-1 ↣ Gn-2 ... ↣ G1 ↣ G0 = Gn is anti-invariant in G, i. e. the only subgroup of G which is normal in Gn is the trivial one. ( “ ↣ ” denotes a group monomorphism, i. e. an injection homomorphism. ) As is well known, such groups G can be embedded into the repeated wreath product where Fi ≅ Gi / Gi+1 (cf. [ 2 ], notation of M. Hall [ 1 ], p. 81). 
Kuyk, Willem. Note on Generalized Schreier Extensions of Groups. Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 43-47. doi: 10.4153/CMB-1966-005-1
@article{10_4153_CMB_1966_005_1,
     author = {Kuyk, Willem},
     title = {Note on {Generalized} {Schreier} {Extensions} of {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {43--47},
     year = {1966},
     volume = {9},
     number = {1},
     doi = {10.4153/CMB-1966-005-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-005-1/}
}
TY  - JOUR
AU  - Kuyk, Willem
TI  - Note on Generalized Schreier Extensions of Groups
JO  - Canadian mathematical bulletin
PY  - 1966
SP  - 43
EP  - 47
VL  - 9
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-005-1/
DO  - 10.4153/CMB-1966-005-1
ID  - 10_4153_CMB_1966_005_1
ER  - 
%0 Journal Article
%A Kuyk, Willem
%T Note on Generalized Schreier Extensions of Groups
%J Canadian mathematical bulletin
%D 1966
%P 43-47
%V 9
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-005-1/
%R 10.4153/CMB-1966-005-1
%F 10_4153_CMB_1966_005_1

Cité par Sources :