Local control and Bogomolov multipliers of finite groups

Primoz Moravec
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Abstract

We show that if a Sylow $p$-subgroup of a finite group $G$ is nilpotent of class at most $p$, then the $p$-part of the Bogomolov multiplier of $G$ is locally controlled.
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有限群的局部控制和博戈莫洛夫乘数
我们的研究表明,如果有限群 $G$ 的 Sylow $p$ 子群是最多 $p$ 类的无幂群,那么 $G$ 的波哥莫洛夫乘数的 $p$ 部分是局部受控的。
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Writing finite simple groups of Lie type as products of subset conjugates Membership problems in braid groups and Artin groups Commuting probability for the Sylow subgroups of a profinite group On $G$-character tables for normal subgroups On the number of exact factorization of finite Groups
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