6,372 reputation
12034
bio website mathematik.uni-wuerzburg.de/…
location Würzburg
age 48
visits member for 2 years, 9 months
seen 4 hours ago
I'm a professor of mathematics at the University of Würzburg (Germany). For further infos see my web page.

4h
comment quasiprimitive unsoluble groups
@Colin Reid: I believe that the OP means the notion of quasi-primitivity for linear groups, which is quite different from the one for permutation groups.
Jul
15
comment A particular example of solvable group
Rather than asking a new question in the comments, you should either edit your question, or raise a new question. In addition, it could be useful to know why you are interested in these things.
Jul
13
comment A particular example of solvable group
I doubt that this construction works: The cyclic group $N$ has an abelian automorphism group, so the non-abelian group $H$ cannot act faithfully on $N$. In particular, $H$ cannot act fixed-point-freely, as it should for $N$ being the Frobenius kernel.
Jul
12
comment A particular example of solvable group
Which Frobenius groups bring the quotient close to $3$?
Jul
10
revised A double centralizing theorem for finite groups
added 297 characters in body
Jul
9
comment groups of order $ p(p^2-1) / 4 $ where $p$ is a prime
I think that one does not need CFSG. $G$ is not $3$-transitive (because its order is too small), so the point stabilizer $G_1$ of degree $p$ is not $2$-transitive. Thus, by Burnside, $G_1=\mathbb F_p\rtimes C$, where $C$ is the subgroup of order $(p-1)/4$ of $\mathbb F_p^\star$. From here, either the techniques of transitive extensions should work; or if that doesn't, we simply note that $G_1$ is Frobenius, so $G$ is a Zassenhaus group. The latter ones got classified without CFSG.
Jun
27
comment GV bound coding theory
That's a repetition of mathoverflow.net/questions/172775/coding-theory-question which was closed and answered in a comment. Can someone (with sufficiently high reputation) remove rather than just close this question?
Jun
27
comment $6$ points lie on a conic if and only if $ABC$ and $A_0B_0C_0$ are perspective
I believe that the theorems of Pascal and Brianchon will be relevant here.
Jun
25
revised Permutation Groups Containing non-commuting $p$-cycles
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Jun
25
revised Permutation Groups Containing non-commuting $p$-cycles
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Jun
25
revised Permutation Groups Containing non-commuting $p$-cycles
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Jun
25
comment Permutation Groups Containing non-commuting $p$-cycles
@GeoffRobinson: I rewrote the arguments. Hope the case $n=\lvert\Omega\rvert=p+1$ is clearer now.
Jun
25
revised Permutation Groups Containing non-commuting $p$-cycles
some clarifications and re-wordings
Jun
25
comment Permutation Groups Containing non-commuting $p$-cycles
@GeoffRobinson: I don't understand your last comment. Unless I made an error, my answer shows that in the non-Mersenne case $\langle x,y\rangle$ is simple, which is more than you asked for.
Jun
24
revised Permutation Groups Containing non-commuting $p$-cycles
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Jun
24
comment Permutation Groups Containing non-commuting $p$-cycles
@Frieder Ladisch: Thanks for pointing out the errors. I'm still a little in haste, but I hope things are somewhat correct now.
Jun
24
revised Permutation Groups Containing non-commuting $p$-cycles
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Jun
24
revised Permutation Groups Containing non-commuting $p$-cycles
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Jun
24
revised Permutation Groups Containing non-commuting $p$-cycles
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Jun
24
revised Permutation Groups Containing non-commuting $p$-cycles
added 577 characters in body