In the present article, we examine linear representations of finite gyrogroups, following their
group-counterparts. In particular, we prove Maschke's theorem for gyrogroups, along with its …

ABSTRACT The Donald–Flanigan conjecture asserts that any group algebra of a finite
group has a separable deformation. We apply an inductive method to deform group …

The Donald-Flanigan conjecture asserts that any group algebra of a finite group has a
separable deformation. We apply an inductive method to deform group algebras from …

The Donald–Flanigan conjecture asserts that the integral group ring $\mathbb {Z} G $ of a
finite group $ G $ can be deformed to an algebra $ A $ over the power series ring $\mathbb …

The group algebras k⁢ Q 2 n of the generalized quaternion groups Q 2 n over fields k which
contain 𝔽 2 n-2 are deformed to separable k⁢((t))-algebras [k⁢ Q 2 n] t. The dimensions of …

Given an algebra over a field k, a deformation of it, is a special kind of an algebra over k
((t))(the field of fractions of the power series ring over k). The JD Donald and FJ Flanigan …

The Donald-Flanigan conjecture asserts that for any finite group $ G $ and any field $ k $,
the group algebra $ kG $ can be deformed to a separable algebra. The minimal unsolved …

Let G be a finite group. The Plesken Lie algebra is a subalgebra of the complex group
algebra C [G] and admits a direct-sum decomposition into simple Lie algebras. We describe …

Abstract The Donald-Flanigan conjecture asserts that for any finite group G and prime p
dividing its order# G, the group algebra F p G can be deformed into a semisimple, and …

Let G be a finite group and k, for simplicity, be an algebraically closed field. Then to give a
representation of G over a field k is equivalent to giving a module for the group algebra kG …