Keele Research Repository

Article

Truman, PJ (2023) On $ \rho $-conjugate Hopf-Galois structures. Proceedings of the Edinburgh Mathematical Society. (In Press)

Truman, PJ and Koch, A (2022) Skew left braces and isomorphism problems for Hopf-Galois structures on Galois extensions. Journal of Algebra and Its Applications.

Truman, PJ (2020) Hopf-Galois module structure of tamely ramified radical extensions of prime degree. Journal of Pure and Applied Algebra, 224 (5).

Truman, PJ and Koch, A (2020) Opposite Skew Left Braces and Applications. Journal of Algebra, 546. pp. 218-235.

Truman, PJ, Koch, A, Kohl, T and Underwood, R (2019) Isomorphism problems for Hopf-Galois structures on separable field extensions. Journal of Pure and Applied Algebra, 223 (5). pp. 2230-2245.

Truman, PJ and Taylor, S (2019) The structure of Hopf algebras giving Hopf-Galois structures on Quaternionic extensions. New York Journal of Mathematics, 25. pp. 219-237.

Truman, PJ, Kohl, T, Koch, A and Underwood, R (2019) Normality and Short Exact Sequences of Hopf-Galois Structures. Communications in Algebra, 47 (5). pp. 2086-2101.

Truman, PJ (2018) Commutative Hopf-Galois module structure of tame extensions. Journal of Algebra, 503. pp. 389-408.

Truman, PJ (2018) Commuting Hopf-Galois structures on a separable extension. Communications in Algebra, 46 (4). pp. 1420-1427.

Truman, PJ (2016) Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions. Communications in Algebra, 44 (3). 1119 - 1130.

Truman, PJ (2016) Hopf-Galois module structure of tame Cp×Cp extensions. Journal de Theorie des Nombres de Bordeaux, 28 (2). 557 - 582.

Truman, PJ (2016) Hopf-Galois module structure of tame biquadratic extensions. Journal de Theorie des Nombres de Bordeaux, 28 (2). pp. 557-582.

Truman, PJ (2013) Integral Hopf-Galois structures for tame extensions. New York Journal of Mathematics, 19. pp. 647-655.

Truman, PJ (2011) Towards a generalisation of Noether's theorem to nonclassical Hopf-Galois structures. New York Journal of Mathematics, 17. pp. 799-810.

Book Section

Truman, PJ, Koch, A, Kohl, T and Underwood, R (2019) The Structure of Hopf Algebras Acting on Dihedral Extensions. In: Advances in Algebra. SRAC 2017. Springer Proceedings in Mathematics & Statistics, 277 . Springer, pp. 201-218.