Groups with isomorphic proper subgroups
نویسندگان
چکیده
منابع مشابه
Groups without Proper Isomorphic Quotient Groups
If ƒ is a homomorphism of the group G, and if g is an isomorphism of the image group G, then f g is a homomorphism of G too ; and this homomorphism is an isomorphism if, and only if, ƒ is an isomorphism. Consequently the following three properties of the group G imply each other. (1) Homomorphisms of G upon isomorphic groups are isomorphisms. (2) Homomorphisms of G upon itself are isomorphisms....
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1945
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1945-08359-1