3 problems

Existence of non-strongly p-artinian groups and non-LFS-realizable fusion systems
Existence conjecture. There are $p'$ -reduced locally finite $p$ -artinian groups that are not locally finite, strongly $p$ -artinian groups, and there are fusion systems that are LF-…
openFrom papersfusion-systems locally-finite-groups p-groups
0 responses
6
The Addition Theorem conjecture for locally finite groups
Locally finite-group Addition Theorem conjecture. If $G$ is a locally finite group, then $AT(G)$ holds.
openFrom papersalgebraic-entropy group-theory locally-finite-groups
0 responses
4
Abelian p-group reduction conjecture for automorphism groups
Abelian p-group reduction conjecture. $Aut_H(G)$ has a locally finite subgroup of power $\lambda$ .
openFrom papersautomorphism-groups group-theory locally-finite-groups
0 responses
4

Existence of non-strongly p-artinian groups and non-LFS-realizable fusion systems