On the Frattini subgroup of the generalized free product with amalgamation
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- by D. Ž. Djoković and C. Y. Tang
- Proc. Amer. Math. Soc. 32 (1972), 21-23
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289656-7
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Abstract:
Let G be the generalized free product of two groups A and B amalgamating their subgroup H. If H satisfies the minimal condition on subgroups then the Frattini subgroup of G is contained in H. When H is finite then this Frattini subgroup can be precisely determined.References
- Graham Higman and B. H. Neumann, On two questions of Itô, J. London Math. Soc. 29 (1954), 84–88. MR 57881, DOI 10.1112/jlms/s1-29.1.84
- Alice Whittemore, On the Frattini subgroup, Trans. Amer. Math. Soc. 141 (1969), 323–333. MR 245687, DOI 10.1090/S0002-9947-1969-0245687-9
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 21-23
- MSC: Primary 20.54
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289656-7
- MathSciNet review: 0289656