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Results tagged with finite-groups
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user 34180
Questions on group theory which concern finite groups.
1
vote
Mclaughlin Graph
Here is some code for generating these graphs in SAGE
gap('LoadPackage("design")')
McL = graphs.McLaughlinGraph()
D = designs.projective_plane(4)
flags = [(x,B) for x in D.points() for B in D.blocks …
- 1,197
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
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