On the Frattini Subgroups of Generalized Free Products with Cyclic Amalgamations(1)
Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 569-573
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In [1] Higman and Neumann asked the questions whether the Frattini subgroup of a generalized free product can be larger than the amalgamated subgroup and whether such groups necessarily have maximal subgroups. In [4] Whittemore gave answers to the special cases of generalized free products of finitely many free groups with cyclic amalgamation and of generalized free products of finitely many finitely generated abelian groups. In this paper we shall study the Frattini subgroups of generalized free products of any groups with cyclic amalgamation.
Tang, C. Y. On the Frattini Subgroups of Generalized Free Products with Cyclic Amalgamations(1). Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 569-573. doi: 10.4153/CMB-1972-099-5
@article{10_4153_CMB_1972_099_5,
author = {Tang, C. Y.},
title = {On the {Frattini} {Subgroups} of {Generalized} {Free} {Products} with {Cyclic} {Amalgamations(1)}},
journal = {Canadian mathematical bulletin},
pages = {569--573},
year = {1972},
volume = {15},
number = {4},
doi = {10.4153/CMB-1972-099-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-099-5/}
}
TY - JOUR AU - Tang, C. Y. TI - On the Frattini Subgroups of Generalized Free Products with Cyclic Amalgamations(1) JO - Canadian mathematical bulletin PY - 1972 SP - 569 EP - 573 VL - 15 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-099-5/ DO - 10.4153/CMB-1972-099-5 ID - 10_4153_CMB_1972_099_5 ER -
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