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Separating Subgroups of Aut(Fn) Usin...

Vicente, Rico,

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Separating Subgroups of Aut(Fn) Using Homological Representations /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Separating Subgroups of Aut(Fn) Using Homological Representations // Rico Vicente.
作者:	Vicente, Rico,
面頁冊數:	1 electronic resource (47 pages)
附註:	Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
Contained By:	Dissertations Abstracts International86-12B.
標題:	Mathematics. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31934709
ISBN:	9798283424866

Separating Subgroups of Aut(Fn) Using Homological Representations /
Vicente, Rico,

Separating Subgroups of Aut(Fn) Using Homological Representations /Rico Vicente. - 1 electronic resource (47 pages)

Source: Dissertations Abstracts International, Volume: 86-12, Section: B.

Consider the free group on n generators, denoted Fn. Then Aut(Fn) is not a linear group[9, Theorem 5], but one can construct many finite dimensional representations using finite index characteristic subgroups of Fn. We use these types of representations to distinguish consecutive terms in the Johnson filtration of Aut(Fn). This paper relates the action described from the Johnson filtration to the homology of some subgroup K ≤ Fn. These techniques can be used to separate specific types of subgroups B ≤ A ≤ Aut(Fn).

English

ISBN: 9798283424866Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Finite dimensional representations

Separating Subgroups of Aut(Fn) Using Homological Representations /
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245 1 0 $a Separating Subgroups of Aut(Fn) Using Homological Representations / $c Rico Vicente.
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500 $a Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
500 $a Advisors: Hadari, Asaf Committee members: Erman, Daniel; Dovermann, Karl; Post, Sarah; Sitchinava, Nodari.
502 $b Ph.D. $c University of Hawai'i at Manoa $d 2025.
520 $a Consider the free group on n generators, denoted Fn. Then Aut(Fn) is not a linear group[9, Theorem 5], but one can construct many finite dimensional representations using finite index characteristic subgroups of Fn. We use these types of representations to distinguish consecutive terms in the Johnson filtration of Aut(Fn). This paper relates the action described from the Johnson filtration to the homology of some subgroup K ≤ Fn. These techniques can be used to separate specific types of subgroups B ≤ A ≤ Aut(Fn).
546 $a English
590 $a School code: 0085
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
653 $a Finite dimensional representations
653 $a Finite index
653 $a Homological representations
653 $a Free lie algebra
653 $a Nilpotent groups
690 $a 0405
690 $a 0642
710 2 $a University of Hawai'i at Manoa. $b Mathematics. $e degree granting institution. $3 3823035
720 1 $a Hadari, Asaf $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-12B.
790 $a 0085
791 $a Ph.D.
792 $a 2025
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31934709