標(biāo)題: Titlebook: An Introduction to the Theory of Groups; Joseph J. Rotman Textbook 1995Latest edition Springer Science+Business Media New York 1995 Abelia [打印本頁] 作者: Thoracic 時間: 2025-3-21 17:01
書目名稱An Introduction to the Theory of Groups影響因子(影響力)
書目名稱An Introduction to the Theory of Groups影響因子(影響力)學(xué)科排名
書目名稱An Introduction to the Theory of Groups網(wǎng)絡(luò)公開度
書目名稱An Introduction to the Theory of Groups網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱An Introduction to the Theory of Groups被引頻次
書目名稱An Introduction to the Theory of Groups被引頻次學(xué)科排名
書目名稱An Introduction to the Theory of Groups年度引用
書目名稱An Introduction to the Theory of Groups年度引用學(xué)科排名
書目名稱An Introduction to the Theory of Groups讀者反饋
書目名稱An Introduction to the Theory of Groups讀者反饋學(xué)科排名
作者: 高射炮 時間: 2025-3-21 22:08 作者: JOT 時間: 2025-3-22 02:02 作者: Albinism 時間: 2025-3-22 08:01 作者: 凈禮 時間: 2025-3-22 09:34
,Unternehmung und Unternehmungsführung,We now drop the * notation for the operation in a group. Henceforth, we shall write . instead of . * ., and we shall denote the identity element by 1 instead of by ..作者: nonplus 時間: 2025-3-22 13:24 作者: Cardiac 時間: 2025-3-22 18:19 作者: Vsd168 時間: 2025-3-22 22:52
https://doi.org/10.1007/978-3-658-00313-5We begin this chapter with a brief history of the study of roots of polynomials. Mathematicians of the Middle Ages, and probably those in Babylonia, knew the . giving the roots of a quadratic polynomial .(.) = .. + . + .. Setting . transforms .(.) into a polynomial g(.) with no . term: 作者: institute 時間: 2025-3-23 02:20 作者: Mendicant 時間: 2025-3-23 06:30 作者: arthrodesis 時間: 2025-3-23 10:12
https://doi.org/10.1007/978-3-531-91657-6The notion of generators and relations can be extended from abelian groups to arbitrary groups once we have a nonabelian analogue of free abelian groups. We use the property appearing in Theorem 10.11 as our starting point.作者: Lignans 時間: 2025-3-23 16:03 作者: 鄙視讀作 時間: 2025-3-23 21:52 作者: Ingratiate 時間: 2025-3-24 02:15
Symmetric Groups and ,-Sets,The definition of group arose from fundamental properties of the symmetric group S.. But there is another important feature of S.: its elements arc functions acting on some underlying set, and this aspect is not explicit in our presentation so far. The notion of . is the appropriate abstraction of this idea.作者: GIBE 時間: 2025-3-24 02:37
The Sylow Theorems,The order of a group . has consequences for its structure. A rough rule of thumb is that the more complicated the prime factorization of |.|, the more complicated the group. In particular, the fewer the number of distinct prime factors in |G|, the more tractible it is. We now study the “l(fā)ocal” case when only one prime divides |.|.作者: 免費 時間: 2025-3-24 08:39
Normal Series,We begin this chapter with a brief history of the study of roots of polynomials. Mathematicians of the Middle Ages, and probably those in Babylonia, knew the . giving the roots of a quadratic polynomial .(.) = .. + . + .. Setting . transforms .(.) into a polynomial g(.) with no . term: 作者: 極深 時間: 2025-3-24 11:38
Extensions and Cohomology,A group . having a normal subgroup . can be “factored” into . and .. The study of extensions involves the inverse question: Given . ? . and ., to what extent can one recapture .?作者: GNAW 時間: 2025-3-24 15:01
Abelian Groups,Commutativity is a strong hypothesis, so strong that all finite abelian groups are completely classified. In this chapter, we focus on finitely generated and, more generally, countable abelian groups.作者: 膠水 時間: 2025-3-24 20:39
Free Groups and Free Products,The notion of generators and relations can be extended from abelian groups to arbitrary groups once we have a nonabelian analogue of free abelian groups. We use the property appearing in Theorem 10.11 as our starting point.作者: 減弱不好 時間: 2025-3-25 03:12
The Word Problem,Novikov, Boone, and Britton proved, independently, that there is a finitely presented group ? for which no computer can ever exist that can decide whether an arbitrary word on the generators of ? is 1. We shall prove this remarkable result in this chapter.作者: 打折 時間: 2025-3-25 03:55
,Gullfoss-Kerid (Kerie)-Reykjavík, problems thereafter was to find analogous formulas for the roots of polynomials of higher degree; all attempts failed. By the middle of the eighteenth century, it was realized that permutations of the roots of a polynomial .(.) were important; for example, it was known that the coefficients of .(.)作者: 法律 時間: 2025-3-25 09:38
Gesellschaftliche Nutzeneffekte des Sportsgroups to modules over a principal ideal domain, we show that this result gives canonical forms for matrices. The essential uniqueness of the factorization of a finite abelian group as a direct product of cyclic .-groups is then generalized to nonabelian groups that arc direct products of “indecompo作者: 陳腐的人 時間: 2025-3-25 14:12 作者: JADED 時間: 2025-3-25 17:18 作者: 形容詞 時間: 2025-3-25 20:10 作者: consent 時間: 2025-3-26 02:57 作者: 愛社交 時間: 2025-3-26 07:34
An Introduction to the Theory of Groups978-1-4612-4176-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 保留 時間: 2025-3-26 09:55
0072-5285 Overview: 978-1-4612-8686-8978-1-4612-4176-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 音樂學(xué)者 時間: 2025-3-26 16:06 作者: Adenoma 時間: 2025-3-26 17:00 作者: 空中 時間: 2025-3-26 21:35 作者: 杠桿 時間: 2025-3-27 02:12
978-1-4612-8686-8Springer Science+Business Media New York 1995作者: 犬儒主義者 時間: 2025-3-27 09:07
Finite Direct Products,groups to modules over a principal ideal domain, we show that this result gives canonical forms for matrices. The essential uniqueness of the factorization of a finite abelian group as a direct product of cyclic .-groups is then generalized to nonabelian groups that arc direct products of “indecomposable” groups.作者: linear 時間: 2025-3-27 12:53
Permutations and the Mathieu Groups, do all the simple groups we have so far exhibited, and they arc the first examples of what arc nowadays called . simple groups. This chapter is devoted to proving their existence and displaying some of their interesting properties.作者: Ganglion 時間: 2025-3-27 13:54
https://doi.org/10.1007/978-3-658-00313-5he most “obvious” of these, the ., which arise naturally from the group of all matrices of determinant 1 over a field .. Since these groups are finite only when the field . is finite, let us begin by examining the finite fields.作者: 狂亂 時間: 2025-3-27 18:28
Some Simple Linear Groups,he most “obvious” of these, the ., which arise naturally from the group of all matrices of determinant 1 over a field .. Since these groups are finite only when the field . is finite, let us begin by examining the finite fields.作者: Medicare 時間: 2025-3-27 23:09
Groups and Homomorphisms, problems thereafter was to find analogous formulas for the roots of polynomials of higher degree; all attempts failed. By the middle of the eighteenth century, it was realized that permutations of the roots of a polynomial .(.) were important; for example, it was known that the coefficients of .(.)作者: Flat-Feet 時間: 2025-3-28 04:39 作者: 鞭子 時間: 2025-3-28 08:29
Some Simple Linear Groups, of finite simple groups (in addition to the cyclic groups of prime order and the large alternating groups), and our main concern in this chapter is the most “obvious” of these, the ., which arise naturally from the group of all matrices of determinant 1 over a field .. Since these groups are finite作者: Bernstein-test 時間: 2025-3-28 14:21
Permutations and the Mathieu Groups, do all the simple groups we have so far exhibited, and they arc the first examples of what arc nowadays called . simple groups. This chapter is devoted to proving their existence and displaying some of their interesting properties.作者: transient-pain 時間: 2025-3-28 18:36
Epilogue,sed field. There are two initial approaches to this subject, and both approaches must eventually be mastered. One approach, historically the first, is .. If ?: .→ GL(., ?) is a homomorphism, then ?(.) is an . × . complex matrix for each . ∈ .; its . χ(?): . × ? is defined to be the trace function .?作者: 連鎖 時間: 2025-3-28 18:44 作者: LVAD360 時間: 2025-3-29 00:09 作者: 制度 時間: 2025-3-29 05:48 作者: 軟膏 時間: 2025-3-29 10:15 作者: Stress 時間: 2025-3-29 12:14 作者: abduction 時間: 2025-3-29 18:11 作者: 闖入 時間: 2025-3-29 19:46
Communicating Loss: Ice Research, Popular Art and Aesthetics: Introduction hope for a fundamental change in material presence (with ice as a shape-shifter) and thus leads to an emotional entanglement of humans with the world’s cryosphere. This chapter not only illuminates the cultural power of ice research but also contributes to a better understanding of the cultural wor
