All partial groups of order ≤10 are enumerated, and two theorems are proved: high-dimension indecomposables are group skeleta, and degree-≤2 partial groups are 2-coskeletal.
Black String in Massive Gravity
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abstract
We will analyze a black string in dRGT massive theory of gravity. Considering different approaches, we will study the critical behavior, phase transition and thermal stability for such a black string solution. We will also analyze the Van der Waals behavior for this system, and observe that the Van der Waals behavior depends on the graviton mass. It will be observed that the thermal fluctuations can modify the behavior of this system. We will explicitly analyze the effect of such fluctuations on the stability of this black string solution. This will be done using the Hessian matrix for this system.
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2026 1verdicts
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On partial groups of small order
All partial groups of order ≤10 are enumerated, and two theorems are proved: high-dimension indecomposables are group skeleta, and degree-≤2 partial groups are 2-coskeletal.