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In this paper, we introduce and study five families of Lie groups indegenerate Clifford geometric algebras. These Lie groups preserve the even andodd subspaces and some other subspaces under the adjoint representation and thetwisted adjoint representation. The considered Lie groups contain degeneratespin groups, Lipschitz groups, and Clifford groups as subgroups in the case ofarbitrary dimension and signature. The considered Lie groups can be of interestfor various applications in physics, engineering, and computer science.

On Some Lie Groups in Degenerate Clifford Geometric Algebras