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PSEUDOREPRESENTATIONS WITH SMALL DEFECT THAT ARE TRIVIAL ON A NORMAL SUBGROUP

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초록

A sufficient condition for the triviality of the restriction of a pseudorepresentation of a group to a normal subgroup is given.

Abstract

A sufficient condition for the triviality of the restriction of a pseudorepresentation of a group to a normal subgroup is given.

참고문헌 (7)

  1. A. I. Shtern, "Quasireprezentations and pseudorepresentations", Funktsional. Anal. i Prilozhen, 25(2), pp.70~73 (1991)
  2. A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
  3. A. I. Shtern, "A version of van der Waerden’s theorem and a proof of Mishchenko’s conjecture on homomorphisms of locally compact groups", Izv. Ross. Akad. Nauk Ser. Mat, 72(1), pp.183~224 (2008)
  4. A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
  5. A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Mat. Sb, 208(10), pp.149~170 (2017)
  6. A. I. Shtern, "Specific properties of one-dimensional pseudorepresentations of groups", Fundam. Prikl. Mat, 21(1), pp.247~255 (2016)
  7. A. I. SHTERN, "One-dimensional pseudorepresentations with small defect that are trivial on a normal subgroup", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 23(4), pp.553~556 (2020), 장전수학회

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