논문KCI 등재
One-dimensional pseudorepresentations with small defect that are trivial on a normal subgroup
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참고문헌
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초록
We prove that every one-dimensional pseudorepresentation of a group with a sufficiently small defect that is trivial on a normal subgroup is defined by a one-dimensional pseudorepresentation of the corresponding quotient group.
Abstract
We prove that every one-dimensional pseudorepresentation of a group with a sufficiently small defect that is trivial on a normal subgroup is defined by a one-dimensional pseudorepresentation of the corresponding quotient group.
참고문헌 (6)
- A. I. Shtern, "Quasireprezentations and pseudorepresentations", Funktsional. Anal. i Prilozhen, 25(2), pp.70~73 (1991)
- A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys, 2(3), pp.353~382 (1994)
- 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)
- A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", Fundam. Prikl. Mat, 13(7), pp.85~225 (2007)
- A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Mat. Sb, 208(10), pp.149~170 (2017)
- A. I. Shtern, "Specific properties of one-dimensional pseudorepresentations of groups", Fundam. Prikl. Mat, 21(1), pp.247~255 (2016)
관련 논문AI추천
PSEUDOREPRESENTATIONS WITH SMALL DEFECT THAT ARE TRIVIAL ON A NORMAL SUBGROUPA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제4호A ONE-DIMENSIONAL PSEUDOREPRESENTATION OF AN AMENABLE GROUP WITH A DEFECT LESS THAN 1/4 IS AN ORDINARY CHARACTER OF THE GROUPA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제4호One-dimensional locally bounded not necessarily continuous pseudorepresentations of the group SL(2,Qp) with small defect are identity representationsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제2호GROUPS OF ONE-DIMENSIONAL PURE PSEUDOREPRESENTATIONS OF GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제3호The center of a pseudocharacterA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제1호A DECOMPOSITION OF THE SPACE OF PSEUDOCHARACTERS ON A GROUP WITH RESPECT TO A NORMAL SUBGROUPA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제4호
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