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- W4298405024 abstract "We say that a group G is a cube group if it is generated by a set S of involutions such that the corresponding Cayley graph Cay(G,S) is isomorphic to a cube. Equivalently, G is a cube group if it acts on a cube such that the action is simply-transitive on the vertices and the edge stabilizers are all nontrivial. The action on the cube extends to an orthogonal linear action, which we call the geometric representation. We prove a combinatorial decomposition for cube groups into products of 2-element subgroup, and show that the geometric representation is always reducible." @default.
- W4298405024 created "2022-10-02" @default.
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- W4298405024 date "2011-11-10" @default.
- W4298405024 modified "2023-09-30" @default.
- W4298405024 title "On groups with Cayley graph isomorphic to a cube" @default.
- W4298405024 doi "https://doi.org/10.48550/arxiv.1111.2570" @default.
- W4298405024 hasPublicationYear "2011" @default.
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