Isomorphic subgroups of finite solvable groups

יום ד', 27/11/2019 - 10:30
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In 2014, Moshe Newman asked the following question:  If two subgroups of a finite solvable group are isomorphic and one is a maximal proper subgroup of G, must the other also be a maximal proper subgroup of G?  This question is still open.  I plan to discuss recent results with Geoffrey Robinson that give some sufficient conditions for an affirmative answer.