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Asymptotic Expansions for Some Count...

Just, Matthew,

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Asymptotic Expansions for Some Counting Functions in Group Theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Asymptotic Expansions for Some Counting Functions in Group Theory // Matthew Just.
Author:	Just, Matthew,
Description:	1 electronic resource (46 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 83-03, Section: B.
Contained By:	Dissertations Abstracts International83-03B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28646091
ISBN:	9798544272199

Asymptotic Expansions for Some Counting Functions in Group Theory /
Just, Matthew,

Asymptotic Expansions for Some Counting Functions in Group Theory /Matthew Just. - 1 electronic resource (46 pages)

Source: Dissertations Abstracts International, Volume: 83-03, Section: B.

We give asymptotic series expansions for the functions A(x) − C(x), the count of n ≤ x for which every group of order n is abelian (but not all cyclic), N (x) − A(x), the count of n ≤ x for which every group of order n is nilpotent (but not all abelian), and g2(x), the count of n ≤ x for which there are exactly two groups of order n (up to isomorphism).

English

ISBN: 9798544272199Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Asymptotic expansions

Asymptotic Expansions for Some Counting Functions in Group Theory /
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020 $a 9798544272199
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040 $a MiAaPQD $b eng $c MiAaPQD $e rda
100 1 $a Just, Matthew, $e author. $3 3817999
245 1 0 $a Asymptotic Expansions for Some Counting Functions in Group Theory / $c Matthew Just.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 1 electronic resource (46 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: Dissertations Abstracts International, Volume: 83-03, Section: B.
500 $a Advisors: Pollack, Paul Committee members: Lyall, Neil; Magyar, Akos; Petridis, Giorgis.
502 $b Ph.D. $c University of Georgia $d 2021.
520 $a We give asymptotic series expansions for the functions A(x) − C(x), the count of n ≤ x for which every group of order n is abelian (but not all cyclic), N (x) − A(x), the count of n ≤ x for which every group of order n is nilpotent (but not all abelian), and g2(x), the count of n ≤ x for which there are exactly two groups of order n (up to isomorphism).
546 $a English
590 $a School code: 0077
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
653 $a Asymptotic expansions
653 $a Counting functions
653 $a Group theory
653 $a Finite groups
690 $a 0405
690 $a 0642
710 2 $a University of Georgia. $b Mathematics - PHD. $e degree granting institution. $3 3818000
720 1 $a Pollack, Paul $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 83-03B.
790 $a 0077
791 $a Ph.D.
792 $a 2021
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28646091