Michael C. Burkhart

activity

20122026

most citedDeep Low-Density Separation for Semi-Supervised Classification

6 citations · 16 across the 18 of their papers we have counts for

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4 papers · 1 filter

math.GR2026

Local conjugacy in prosolvable groups

Michael C. Burkhart

For prosolvable groups, we provide conditions under which two locally conjugate supplements of a normal pronilpotent subgroup are conjugate, analogous to those given by Losey and S…

math.GR2025

Actions of nilpotent groups on nilpotent groups

Michael C. Burkhart

For finite nilpotent groups $J$ and $N$ , suppose $J$ acts on $N$ via automorphisms. We exhibit a decomposition of the first cohomology set in terms of the first cohomologies of the…

math.GR2023

Fixed point conditions for non-coprime actions

Michael C. Burkhart

In the setting of finite groups, suppose $J$ acts on $N$ via automorphisms so that the induced semidirect product $N ⋊ J$ acts on some non-empty set $Ω$ , with $N$ acting trans…

math.GR2022★ 1 cited

Conjugacy conditions for supersoluble complements of an abelian base and a fixed point result for non-coprime actions

Michael C. Burkhart

We demonstrate that two supersoluble complements of an abelian base in a finite split extension are conjugate if and only if, for each prime $p$ , a Sylow $p$ -subgroup of one comple…