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Questions on group theory which concern finite groups.

2 votes
1 answer
100 views

Generating subgroups of large index by a large chunk of a conjugacy class

Let $G$ be a finite simple group and let $C$ be a (non-trivial) conjugacy class of $G$. Let $H$ be a subgroup of $G$ such that $$|H\cap C| \geq \epsilon |C|.$$ Can one conclude that the index of $H$ …
Lev Borisov's user avatar
  • 5,186
5 votes
Accepted

Finite Quotients and Resolutions of Singularities

I suspect that you will have trouble with trying to "simultaneously" resolve $X$ and $X/G$. We actually run into this issue in the joint paper with Anatoly Libgober arXiv:math/0206241 (although it may …
Lev Borisov's user avatar
  • 5,186