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Allenby, R. B. J. T.; Tang, C. Y.

On the Frattini subgroups of generalized free products and the embedding of amalgams. (English) Zbl 0315.20031

Trans. Am. Math. Soc. 203, 319-330 (1975).
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Cited in 2 Documents

MSC:

20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
20E07 Subgroup theorems; subgroup growth
20E15 Chains and lattices of subgroups, subnormal subgroups
20E10 Quasivarieties and varieties of groups
20E25 Local properties of groups
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References:

[1] R. B. J. T. Allenby, On the residual finiteness of permutational products of groups, J. Austral. Math. Soc. 11 (1970), 504 – 506. · Zbl 0216.08502
[2] R. B. J. T. Allenby and C. Y. Tang, On the Frattini subgroups of generalized free products, Bull. Amer. Math. Soc. 80 (1974), 119 – 121. · Zbl 0286.20036
[3] Gilbert Baumslag, On the residual finiteness of generalised free products of nilpotent groups, Trans. Amer. Math. Soc. 106 (1963), 193 – 209. · Zbl 0112.25904
[4] D. Ž. Djoković and C. Y. Tang, On the Frattini subgroup of the generalized free product with amalgamation, Proc. Amer. Math. Soc. 32 (1972), 21 – 23. · Zbl 0212.36102
[5] Joan Landman Dyer, On the residual finiteness of generalized free products, Trans. Amer. Math. Soc. 133 (1968), 131 – 143. · Zbl 0175.29701
[6] R. J. Gregorac, On permutational products of groups, J. Austral. Math. Soc. 10 (1969), 111 – 135. · Zbl 0195.03801
[7] R. J. Gregorac, On residually finite generalized free products, Proc. Amer. Math. Soc. 24 (1970), 553 – 555. · Zbl 0215.10801
[8] Graham Higman and B. H. Neumann, On two questions of Itô, J. London Math. Soc. 29 (1954), 84 – 88. · Zbl 0055.01602 · doi:10.1112/jlms/s1-29.1.84
[9] B. H. Neumann, An essay on free products of groups with amalgamations, Philos. Trans. Roy. Soc. London. Ser. A. 246 (1954), 503 – 554. · Zbl 0057.01702 · doi:10.1098/rsta.1954.0007
[10] B. H. Neumann, Permutational products of groups, J. Austral. Math. Soc. 1 (1959/1960), 299 – 310. · Zbl 0095.01701
[11] B. H. Neumann, On amalgams of periodic groups, Proc. Roy. Soc. London Ser. A 255 (1960), 477 – 489. · Zbl 0092.02001 · doi:10.1098/rspa.1960.0081
[12] C. Y. Tang, On the Frattini subgroups of generalized free products with cyclic amalgamations, Canad. Math. Bull. 15 (1972), 569 – 573. · Zbl 0253.20039 · doi:10.4153/CMB-1972-099-5
[13] C. Y. Tang, On the Frattini subgroups of certain generalized free products of groups, Proc. Amer. Math. Soc. 37 (1973), 63 – 68. · Zbl 0253.20040
[14] Alice Whittemore, On the Frattini subgroup, Trans. Amer. Math. Soc. 141 (1969), 323 – 333. · Zbl 0184.04303
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