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- W2192971301 abstract "Here we discuss the Schreier extension of groups which we consider, of course, in the abelian case only. Roughly speaking, the theory sets as its aim to determine the group from a subgroup and a factor group. This method is too general, for there is a large collection of ways of putting together a group from a subgroup and from the corresponding factor group. There exist two points of view for the discussion: factor sets and homomorphisms, both methods and their interrelations will be considered here. The extensions, under a suitable equivalence relation, themselves form a group, the group of extensions. The theory of EILENBERG and MACLANE [1] on the group of extensions is in part reproduced here. The results of BAER [16] concerning the structure of this group are also dealt with. It is to be emphasized that SCHREIER'S way is not the only possibility of discussing the extensions of a group by another. Cf. BAER [15]." @default.
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- W2192971301 date "1960-01-01" @default.
- W2192971301 modified "2023-09-28" @default.
- W2192971301 title "GROUP EXTENSIONS" @default.
- W2192971301 doi "https://doi.org/10.1016/b978-0-08-009206-5.50014-5" @default.
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