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math.GR2020
Genus, thickness and crossing number of graphs encoding the generating properties of finite groups
Cristina Acciarri, Andrea Lucchini
Assume that is a finite group and let and be non-negative integers. We define an undirected graph whose vertices correspond to the elements of $G^a\cup G^b…
math.GR2020★ 8 cited
A stronger form of Neumann's BFC-theorem
Cristina Acciarri, Pavel Shumyatsky
Given a group , we write for the conjugacy class of containing the element . A famous theorem of B. H. Neumann states that if is a group in which all conjugacy…