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- W2074295502 abstract "Let Ga (a ET) be a set of groups. The direct product J J {G a a^T} is the set of all functions ƒ on T such that f (a) £ G a for all a E T , with multiplication of functions defined componentwise. The direct sum ] C { £ a | a € = r } is the subgroup of X I { G a | a : £ r } consisting of all functions ƒ with finite support. A collection (B of groups is called a class of groups if .EG®, and isomorphic images of (B groups are (B groups. We use the following notation of P. Hall [ l ] . If (B is a class of groups, S ((B), Q((R), DS(&), Z>P((B) denote respectively the classes of groups which are subgroups, quotient groups, direct sums and direct products of (B groups. The following theorem was proved by Merzulakov in [2]." @default.
- W2074295502 created "2016-06-24" @default.
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- W2074295502 date "1967-11-01" @default.
- W2074295502 modified "2023-10-18" @default.
- W2074295502 title "On direct products of generalized solvable groups" @default.
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- W2074295502 doi "https://doi.org/10.1090/s0002-9904-1967-11868-8" @default.
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