國立虎尾科技大學 |

Language: English

Back

Two Inquiries about Finite Groups an...

ProQuest Information and Learning Co.

Two Inquiries about Finite Groups and Well-Behaved Quotients.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Two Inquiries about Finite Groups and Well-Behaved Quotients./
Author:	Blum-Smith, Ben.
Description:	1 online resource (246 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.
Contained By:	Dissertation Abstracts International78-12B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355128789

Two Inquiries about Finite Groups and Well-Behaved Quotients.
Blum-Smith, Ben.

Two Inquiries about Finite Groups and Well-Behaved Quotients. - 1 online resource (246 pages)

Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

This thesis addresses questions in representation and invariant theory of finite groups. The first concerns singularities of quotient spaces under actions of finite groups. We introduce a class of finite groups such that the quotients have at worst abelian quotient singularities. We prove that supersolvable groups belong to this class and show that nonabelian finite simple groups do not belong to it. The second question concerns the Cohen-Macaulayness of the invariant ring Z[x1,..., xn]G, where G is a permutation group. We prove that this ring is Cohen-Macaulay if G is generated by transpositions, double transpositions, and 3-cycles, and conjecture that the converse is true as well.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355128789Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Two Inquiries about Finite Groups and Well-Behaved Quotients.
LDR:01951ntm a2200337Ki 4500 001 909727
005 20180426091044.5
006 m o u
007 cr mn||||a|a||
008 190606s2017 xx obm 000 0 eng d
020 $a 9780355128789
035 $a (MiAaPQ)AAI10261859
035 $a (MiAaPQ)nyu:12980
035 $a AAI10261859
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Blum-Smith, Ben. $3 1180642
245 1 0 $a Two Inquiries about Finite Groups and Well-Behaved Quotients.
264 0 $c 2017
300 $a 1 online resource (246 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-12(E), Section: B.
500 $a Advisers: Yuri Tschinkel; Fedor Bogomolov.
502 $a Thesis (Ph.D.) $c New York University $d 2017.
504 $a Includes bibliographical references
520 $a This thesis addresses questions in representation and invariant theory of finite groups. The first concerns singularities of quotient spaces under actions of finite groups. We introduce a class of finite groups such that the quotients have at worst abelian quotient singularities. We prove that supersolvable groups belong to this class and show that nonabelian finite simple groups do not belong to it. The second question concerns the Cohen-Macaulayness of the invariant ring Z[x1,..., xn]G, where G is a permutation group. We prove that this ring is Cohen-Macaulay if G is generated by transpositions, double transpositions, and 3-cycles, and conjecture that the converse is true as well.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a New York University. $b Mathematics. $3 1180487
773 0 $t Dissertation Abstracts International $g 78-12B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10261859 $z click for full text (PQDT)

based on 0 review(s)

Multimedia

Reviews

Add a review and share your thoughts with other readers

Export

pickup library