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math.GR2018
Formations of finite groups with the M. Hall property
Karl Auinger, Alexander Bors
The first examples of formations which are arboreous (and therefore Hall) but not freely indexed (and therefore not locally extensible) are found. Likewise, the first examples of s…
math.GR2018
Finite groups with a large automorphism orbit
Alexander Bors
We study the nonabelian composition factors of a finite group assumed to admit an -orbit of length at least , for a given . O…