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bio website ms.uky.edu/~jack
location Lexington, KY
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visits member for 4 years, 2 months
seen Aug 7 at 13:42

Oct
19
awarded  Enlightened
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19
awarded  Nice Answer
Oct
13
awarded  Popular Question
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10
awarded  Nice Question
Sep
30
awarded  Explainer
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27
awarded  Enlightened
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27
awarded  Nice Answer
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24
awarded  Nice Question
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2
awarded  Yearling
Jul
31
revised Automorphisms of non-abelian groups of order 27
expand refs
Jul
12
awarded  Revival
Jul
8
answered Proving the Thompson Transfer Lemma
Jul
8
comment Proving the Thompson Transfer Lemma
@Nishant: use the representation on the cosets of M (rather than the left regular representation). More or less the same statements are true. I don't think you actually use transfer at all.
Jul
3
comment Question about inverse Galois problem
In 2, why aren't finite quotients of $\Lambda$ allowed as continuous quotients? For instance, why not the perfect group of order 120, $\operatorname{SL}(2,5)$?
Jul
2
answered A group of order $56$ with a unique Sylow $2$-group is either nilpotent or its Sylow $2$-group is $\cong (\mathbb{Z}/2 \mathbb{Z})^3$
Jul
2
comment A group of order $56$ with a unique Sylow $2$-group is either nilpotent or its Sylow $2$-group is $\cong (\mathbb{Z}/2 \mathbb{Z})^3$
What is your question? It seems like you see how the hint proves the proposition. Are you asking how to prove the hint (how to prove the action must be trivial or transitive)?
Jul
2
awarded  Socratic
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2
awarded  Curious
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2
awarded  Inquisitive
Jun
30
comment Normally embedded subgroups reducing in a Hall system
@James: pretty literally that $G_\pi U$ is a subgroup. It means $G_\pi U = U G_\pi$; it is read “$G_\pi$ and $U$ permute.”