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math.GR2024
The powerful class of Sylow subgroups of finite groups
Primoz Moravec
The paper explores the effect of powerful class of Sylow -subgroups of a given finite group on control of transfer or fusion. We also find an explicit bound for the -length o…
math.GR2024
Local control and Bogomolov multipliers of finite groups
Primoz Moravec
We show that if a Sylow -subgroup of a finite group is nilpotent of class at most , then the -part of the Bogomolov multiplier of is locally controlled.