On solvability of the first Hochschild cohomology of odd p-groups
Matthew Antrobus

TL;DR
This paper establishes a precise criterion for when the first Hochschild cohomology Lie algebra of an odd p-group is solvable, using a graph-based approach to analyze its structure.
Contribution
It introduces a new graph-based criterion for the solvability of HH^1(kP) Lie algebras of odd p-groups, advancing understanding of their algebraic structure.
Findings
Provides necessary and sufficient conditions for solvability
Connects group structure to graph properties
Offers new insights into the Lie algebra structure of HH^1(kP)
Abstract
We give a necessary and sufficient criterion for the solvability of as a Lie algebra, where is a -group with odd, in terms of a directed graph constructed from the group . This gives non-trivial results on the structure of such Lie algebras.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research · Finite Group Theory Research
