If two elements of an abelian Sylow P are conjugate in G, then they are conjugate in NG(P), but in GL(3,q) it can require conjugation in two separate normalizers. Is there a group that requires three?
Monthly Archives: August 2010
Sylow numbers
A group has either 0, ā, or an odd number of involutions, and every such number occurs. A group either has 0, ā, or (pā1) mod 2p elements of order p, p odd. Does every such number occur?
Sylow intersections
Are halfway tame intersections automatically tame? Are maximal sylow intersections of maximum order?
Struggling to create good examples
How easy should examples be?
QR Codes in javascript
Can we generate QR codes directly in javascript?
Endomorphism rings of finite length modules
Endomorphisms of finite length modules just move the factors around, right?
Ī© covers of finite groups
Is every finite group the quotient of a finite group by the subgroup generated by elements of small order?