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On the Nilpotent Representation Theory of Groups
On the Nilpotent Representation Theory of Groups
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152049
- ISBN
- 9798342106702
- DDC
- 620
- 저자명
- Golich, Milana.
- 서명/저자
- On the Nilpotent Representation Theory of Groups
- 발행사항
- [Sl] : Purdue University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 46 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-04, Section: A.
- 주기사항
- Advisor: McReynolds, David Ben.
- 학위논문주기
- Thesis (Ph.D.)--Purdue University, 2024.
- 초록/해제
- 요약In this article, we establish results concerning the nilpotent representation theory of groups. In particular, we utilize a theorem of Stallings to provide a general method that constructs pairs of groups that have isomorphic universal nilpotent quotients. We then prove by counterexample that absolute Galois groups of number fields are not determined by their universal nilpotent quotients. We also show that this is the case for residually nilpotent Kleinian groups and in fact, there exist non-isomorphic pairs that have arbitrarily large nilpotent genus. We additionally provide examples of non-isomorphic curves whose geometric fundamental groups have isomorphic universal nilpotent quotients and the isomorphisms are compatible with the outer Galois actions.
- 일반주제명
- Construction
- 일반주제명
- Commuting
- 일반주제명
- Motivation
- 일반주제명
- Diamonds
- 일반주제명
- Transportation
- 기타저자
- Purdue University.
- 기본자료저록
- Dissertations Abstracts International. 86-04A.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211152049
■006m o d
■007cr#unu||||||||
■020 ▼a9798342106702
■035 ▼a(MiAaPQ)AAI31345246
■035 ▼a(MiAaPQ)Purdue25668819
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a620
■1001 ▼aGolich, Milana.
■24510▼aOn the Nilpotent Representation Theory of Groups
■260 ▼a[Sl]▼bPurdue University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a46 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-04, Section: A.
■500 ▼aAdvisor: McReynolds, David Ben.
■5021 ▼aThesis (Ph.D.)--Purdue University, 2024.
■520 ▼aIn this article, we establish results concerning the nilpotent representation theory of groups. In particular, we utilize a theorem of Stallings to provide a general method that constructs pairs of groups that have isomorphic universal nilpotent quotients. We then prove by counterexample that absolute Galois groups of number fields are not determined by their universal nilpotent quotients. We also show that this is the case for residually nilpotent Kleinian groups and in fact, there exist non-isomorphic pairs that have arbitrarily large nilpotent genus. We additionally provide examples of non-isomorphic curves whose geometric fundamental groups have isomorphic universal nilpotent quotients and the isomorphisms are compatible with the outer Galois actions.
■590 ▼aSchool code: 0183.
■650 4▼aConstruction
■650 4▼aCommuting
■650 4▼aMotivation
■650 4▼aDiamonds
■650 4▼aTransportation
■690 ▼a0543
■690 ▼a0709
■71020▼aPurdue University.
■7730 ▼tDissertations Abstracts International▼g86-04A.
■790 ▼a0183
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17162743▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
