Geodesic
Notes on Frattini Subgroups of Generalized Free Products with Cyclic Amalgamation
Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 51-59

Voir la notice de l'article provenant de la source Cambridge University Press

The problem of the exact location of the Frattini subgroup 4>(G) of a generalized free product G = (A*B)H was first raised by Higman and Neumann [5]. Solutions to special cases of the problem can be found in [1], [2], [8], [9] and [10]. The purpose of this note is to extend the results of [2], [8], and to simplify the proof of Whittemore's theorem [10]. We also apply our result to give simple proofs of certain classes of knot groups that have trivial Frattini subgroups. The proof that every knot group has trivial Frattini subgroup hard and long (footnote 2, p. 56). 
Allenby, R. B. J. T.; Tang, C. Y.; Tang, S. Y. Notes on Frattini Subgroups of Generalized Free Products with Cyclic Amalgamation. Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 51-59. doi: 10.4153/CMB-1980-007-0
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