논문KCI 등재
Forti 1-stability for groups without nontrivial pseudocharacters
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참고문헌
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초록
In the class of groups all of whose homomorphisms into reals are trivial, we establish the equivalence between the properties of Forti 1-stability of a group and the absence of nontrivial psedocharacters of the group.
Abstract
In the class of groups all of whose homomorphisms into reals are trivial, we establish the equivalence between the properties of Forti 1-stability of a group and the absence of nontrivial psedocharacters of the group.
참고문헌 (3)
- G. L. Forti, "The stability of homomorphisms and amenability, with applications to functional equations", Abh. Math. Sem. Univ. Hamburg, 57, pp.215~226 (1987)
- A. I. Shtern, "Groups without nontrivial pseudocharacters", Russ. J. Math. Soc, 19(2), pp.256~259 (2012)
- A. I. Shtern, "A version of van der Waerden’s theorem and a proof of Mishchenko’s conjecture for homomorphisms of locally compact groups", Izv. Math, 72(1), pp.169~205 (2008)
관련 논문AI추천
A 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 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 제4호A class of simple Lie groups whose quasirepresentations with small defect can be approximated by an ordinary representationA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호One-dimensional pseudorepresentations with small defect that are trivial on a normal subgroupA. I. SHTERN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제4호Bounded structure and continuity for homomorphisms of perfect connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호
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