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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the Frattini subgroup of the generalized free product with amalgamation


Authors: D. Ž. Djoković and C. Y. Tang
Journal: Proc. Amer. Math. Soc. 32 (1972), 21-23
MSC: Primary 20.54
MathSciNet review: 0289656
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0289656-7
Keywords: Group, Frattini subgroup, generalized free product with amalgamation, minimal condition
Article copyright: © Copyright 1972 American Mathematical Society