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math.GR2025
Lie rings related to the -groups of maximal class
Bettina Eick, Patali Komma, Subhrajyoti Saha
The Lazard correspondence induces a close relation between the -groups of maximal class and a certain type of Lie ring constructed from -adic number fields. Our aim here is t…
math.GR2025
The frame of the graph associated with the p-groups of maximal class
Bettina Eick, Patali Komma, Subhrajyoti Saha
The graph G(p) associated with the p-groups of maximal class is a major tool in their classification. We introduce a subgraph of the graph G(p) called its frame. Its construction i…