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- W1970979986 abstract "In this paper we shall prove a basic relation between the Frattini subgroup of the generalized free product of an amalgam %= (A, B; H) and the embedding of It into nonisomorphic groups, namely, if X can be embedded into two nonisomorphic groups G1 = (A, B) and G2 = (A, B) then the Frattini subgroup of G = (A * B)H is contained in H. We apply this result to various cases. In particular, we show that if A, B are locally solvable and H is infinite cyclic then ?'(G) is" @default.
- W1970979986 created "2016-06-24" @default.
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- W1970979986 date "1975-01-01" @default.
- W1970979986 modified "2023-09-27" @default.
- W1970979986 title "On the Frattini subgroups of generalized free products and the embedding of amalgams" @default.
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- W1970979986 doi "https://doi.org/10.1090/s0002-9947-1975-0357616-0" @default.
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