Alexander Gruber
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Registered User
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You can contact me at gruberan at mail.uc.edu if you'd like.
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Apr 30 |
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What are good non-English languages for mathematicians to know? German's the language for finite group theory. Just throwin' that in. |
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Apr 6 |
answered | Classification for a special simple group |
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Mar 29 |
awarded | ● Necromancer |
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Feb 23 |
answered | Awfully sophisticated proof for simple facts |
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Jan 29 |
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Interesting examples of minimal action on torus You should mention when you crosspost a question (math.stackexchange.com/q/289595/12952) to MSE so that when it is answered on one site, people on the other site will know about it. |
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Jan 25 |
revised |
An extension of the converse to Hall’s theorem. added 231 characters in body |
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Jan 25 |
revised |
An extension of the converse to Hall’s theorem. added 16 characters in body |
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Jan 19 |
revised |
Is there a characterization of groups in which at least one subgroup is not an endomorphism kernel? added 159 characters in body |
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Jan 18 |
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An extension of the converse to Hall’s theorem. @NickGill Done. I understand the confusion - I am not sure why the curly braces are not showing up around $p,q$. |
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Jan 18 |
revised |
An extension of the converse to Hall’s theorem. added 228 characters in body |
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Jan 17 |
asked | An extension of the converse to Hall’s theorem. |
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Jan 17 |
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Is there a characterization of groups in which at least one subgroup is not an endomorphism kernel? I had read about that result and figured this might be the case. Does this central subgroup technique extend to odd primes (e.g. looking at $g(p,k)=$ the fraction of groups of order $p^k$ with the property)? |
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Jan 17 |
awarded | ● Nice Question |
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Jan 16 |
revised |
Is there a characterization of groups in which at least one subgroup is not an endomorphism kernel? added 137 characters in body; edited title; added 1 characters in body |
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Jan 16 |
asked | Is there a characterization of groups in which at least one subgroup is not an endomorphism kernel? |
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Nov 21 |
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How do I determine the smallest dimension of an irreducible $\mathbb{F}_p[G]$-module with a prescribed trivial fixed point space? Also from what I understand of Brauer theory, representations of $H$ over $\mathbb{F}_p$ do not differ from those of $\mathbb{C}$ when $(q,|H|)=1$ (I think?), so perhaps this could be used in some way to find the minimum dimension. I think there are a couple results in Huppert's character theory book about representations of Frobenius complements, but the bounds aren't very strict. |
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Nov 21 |
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How do I determine the smallest dimension of an irreducible $\mathbb{F}_p[G]$-module with a prescribed trivial fixed point space? Well if the entire $p'$-group $H$ acts fixed point freely on an elementary abelian group $E$ then $E\rtimes H$ is a Frobenius group with kernel $E$. Evidently Frobenius groups with abelian kernels have been classified up to isomorphism in Ch. 13 of this memoir: google.com/… but it is way above my head I am not sure whether one can get the minimum dimension from it. |
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Nov 20 |
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How do I determine the smallest dimension of an irreducible $\mathbb{F}_p[G]$-module with a prescribed trivial fixed point space? I don't know the answer. I guess it must be too hard. |
