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Results tagged with gr.group-theory
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user 34180
Questions about the branch of algebra that deals with groups.
2
votes
1
answer
121
views
Flag primitivity of the correlation group of classical projective planes.
We know that the full automorphism group of the $\pi_q = PG(2,q)$ acts imprimitively on the flags (all flags through a fixed point form a block). But, things change when we consider the action of full …
- 1,197
0
votes
Polynomials of low degree that clone polynomials of higher degree
Here's a very general result that solves your problem.
Let $F$ be a field, and let $A = A_1 \times \dots \times A_n$ be a finite grid in $F^n$. A polynomial $P \in F[t_1, \dots, t_n]$ is called $A$- …
- 1,197
4
votes
1
answer
681
views
A question on conjugacy classes of central involutions in a finite group
An involution $a$ of a group $G$ is called central if there exists a sylow $2$-subgroup $H$ of $G$ such that $a \in C_G(H)$, or equivalently if the centralizer of $a$ contains a sylow $2$-subgroup.
C …
- 1,197