Paul J. Truman

activity

20102026

most citedTowards a Generalisation of Noether's Theorem to Nonclassical Hopf-Galois Structures

5 citations · 17 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.GR2026

Bidihedral skew braces

Alan Koch, Paul J. Truman

We classify skew braces with additive and multiplicative groups both isomorphic to the dihedral group $D_{n}$ . As a consequence, we obtain an alternative proof of the classificat…

math.GR2026★ 1 cited

Analogues of Sylow's first theorem, Cauchy's theorem, and Hall's theorem for skew braces

Paul J. Truman

We establish an unconditional analogue of Sylow's first theorem for finite skew braces, and deduce an analogue of Cauchy's theorem. We also prove an analogue of the existence part…

math.GR2026

Bicyclic biskew braces

Hal Simpson, Paul J. Truman

We study finite braces whose additive and multiplicative groups are both cyclic. We reinterpret the classification of these braces from the perspective of regular subgroups of perm…