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Proceedings of the American Mathematical Society

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

 

 

Two-generator groups with perfect Frattini subgroups


Author: M. J. Evans
Journal: Proc. Amer. Math. Soc. 100 (1987), 25-28
MSC: Primary 20E28; Secondary 20F05, 20F26
DOI: https://doi.org/10.1090/S0002-9939-1987-0883395-8
MathSciNet review: 883395
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Abstract: In this paper, $ 2$-generator groups with perfect Frattini subgroups are constructed. The construction also shows that every countable group can be embedded in the Frattini subgroup of a $ 2$-generator group.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0883395-8
Article copyright: © Copyright 1987 American Mathematical Society