Lattices in the direct product of the Heisenberg groups
- 주제어 (키워드) Heisenberg group , Lattices in Lie groups , Nilpotent groups
- 발행기관 서강대학교 일반대학원
- 지도교수 이종범
- 발행년도 2022
- 학위수여년월 2022. 2
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- 실제 URI http://www.dcollection.net/handler/sogang/000000066571
- UCI I804:11029-000000066571
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권 보호를 받습니다.
초록 (요약문)
The purpose of this thesis is to find presentations of lattices in the direct product of the Heisenberg Lie groups NilxNil and solve a realization problem which is to find the necessary and sufficient conditions when an abstract group with the figured presentation can be realized as a lattice in NilxNill. First, we look through the classification of lattices in the Heisenberg Lie group Nil. Then we find presentations of lattices in the direct product of two Heisenberg Lie groups NilxNil. Eventually, we can find the necessary and sufficient conditions for an abstract group with the figured presentation to be realized as a lattice in NilxNil.
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