Edit Profile Gustafson, William H. Compute Distance To: Compute Author ID: gustafson.william-h Published as: Gustafson, W. H.; Gustafson, Wiliam H.; Gustafson, William; Gustafson, William H. Documents Indexed: 42 Publications since 1971, including 1 Book Reviewing Activity: 219 Reviews all top 5 Co-Authors 23 single-authored 4 Halmos, Paul Richard 3 Green, Edward Lee 2 Ewing, John Harwood 2 Faghih-Habibi, Javad 2 Moolgavkar, Suresh H. 2 Moore, Marion E. 2 Roggenkamp, Klaus W. 2 Wheeler, William Hollis 2 Zelmanowitz, Julius Martin 2 Ziemer, William Paul 1 Brooks, Robert Wolfe 1 Ding, Songqing 1 Gornet, Ruth 1 Martin, Clyde Franklin 1 Radjavi, Heydar 1 Reiner, Irving 1 Richter, Robert Bruce 1 Robinson, Donald W. 1 Wardlaw, William P. 1 White, John Thomas 1 Zacharia, Dan all top 5 Serials 8 Linear Algebra and its Applications 6 Communications in Algebra 5 Journal of Algebra 3 American Mathematical Monthly 2 Linear and Multilinear Algebra 2 Proceedings of the American Mathematical Society 1 Bulletin of the Australian Mathematical Society 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Mathematica Japonica 1 Mathematica Scandinavica 1 Pokroky Matematiky, Fyziky & Astronomie all top 5 Fields 24 Associative rings and algebras (16-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Group theory and generalizations (20-XX) 5 History and biography (01-XX) 5 Commutative algebra (13-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 2 \(K\)-theory (19-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 29 Publications have been cited 282 times in 259 Documents Cited by ▼ Year ▼ What is the probability that two group elements commute? Zbl 0276.60013Gustafson, W. H. 66 1973 Products of involutions. Zbl 0325.15009Gustafson, W. H.; Halmos, P. R.; Radjavi, H. 50 1976 Roth’s theorems over commutative rings. Zbl 0398.15013Gustafson, William H. 32 1979 On maximal commutative algebras of linear transformations. Zbl 0335.13009Gustafson, William H. 18 1976 Global dimension in serial rings. Zbl 0571.16011Gustafson, William H. 15 1985 Mutually isospectral Riemann surfaces. Zbl 0997.53031Brooks, Robert; Gornet, Ruth; Gustafson, William H. 14 1998 A note on matrix inversion. Zbl 0533.15002Gustafson, William H. 13 1984 On matrix equivalence and matrix equations. Zbl 0419.15009Gustafson, Wiliam H.; Zelmanowitz, Julius M. 11 1979 Artin rings of global dimension two. Zbl 0549.16015Green, Edward L.; Gustafson, William H.; Zacharia, Dan 7 1985 Burnside rings which are Gorenstein. Zbl 0352.20014Gustafson, William H. 7 1977 Reflexive serial algebras. Zbl 0638.16013Habibi, Javad Faghih; Gustafson, William H. 6 1988 Quivers and matrix equations. Zbl 0840.15011Gustafson, William H. 5 1995 On products of involutions. Zbl 0801.20024Gustafson, William H. 5 1991 Matrix completions over Dedekind rings. Zbl 0456.15010Gustafson, William H.; Moore, Marion E.; Reiner, Irving 5 1981 On hereditary orders. Zbl 0614.16004Gustafson, William H. 3 1987 Hereditary orders and Artin algebras of finite representation type. Zbl 0595.16025Green, Edward L.; Gustafson, William H. 3 1986 Group rings of finite representation type. Zbl 0284.20010Gustafson, William H. 3 1974 Integral relative Grothendieck rings. Zbl 0274.20009Gustafson, William H. 3 1972 Modules and matrices. Zbl 0736.16001Gustafson, William H. 2 1991 A Mayer-Vietoris sequence for Picard groups, with applications to integral group rings of dihedral and quaternion groups. Zbl 0632.16006Gustafson, William H.; Roggenkamp, Klaus W. 2 1988 The Serre conjecture. Zbl 0392.13010Gustafson, W. H.; Halmos, P. R.; Zelmanowitz, J. M. 2 1978 Pathological quasi-Frobenius algebras of finite type. Zbl 0285.16011Green, Edward L.; Gustafson, William H. 2 1974 Remark on relatively projective modules. Zbl 0229.20014Gustafson, W. H. 2 1971 Matrix completions over principal ideal rings. Zbl 1167.15306Gustafson, William H.; Robinson, Donald W.; Richter, R. Bruce; Wardlaw, William P. 1 2008 p-reflexivity of finite-dimensional algebras. Zbl 0689.16008Habibi, Javad Faghih; Gustafson, William H. 1 1988 Automorphisms and Picard groups for hereditary orders. Zbl 0665.16003Gustafson, William H.; Roggenkamp, Klaus W. 1 1987 A footnote to the multiplicative basis theorem. Zbl 0575.16011Gustafson, William 1 1985 On matrix similarity over commutative rings. Zbl 0466.15016Gustafson, William H. 1 1981 On an induction theorem for relative Grothendieck groups. Zbl 0223.20009Gustafson, William H. 1 1972 Matrix completions over principal ideal rings. Zbl 1167.15306Gustafson, William H.; Robinson, Donald W.; Richter, R. Bruce; Wardlaw, William P. 1 2008 Mutually isospectral Riemann surfaces. Zbl 0997.53031Brooks, Robert; Gornet, Ruth; Gustafson, William H. 14 1998 Quivers and matrix equations. Zbl 0840.15011Gustafson, William H. 5 1995 On products of involutions. Zbl 0801.20024Gustafson, William H. 5 1991 Modules and matrices. Zbl 0736.16001Gustafson, William H. 2 1991 Reflexive serial algebras. Zbl 0638.16013Habibi, Javad Faghih; Gustafson, William H. 6 1988 A Mayer-Vietoris sequence for Picard groups, with applications to integral group rings of dihedral and quaternion groups. Zbl 0632.16006Gustafson, William H.; Roggenkamp, Klaus W. 2 1988 p-reflexivity of finite-dimensional algebras. Zbl 0689.16008Habibi, Javad Faghih; Gustafson, William H. 1 1988 On hereditary orders. Zbl 0614.16004Gustafson, William H. 3 1987 Automorphisms and Picard groups for hereditary orders. Zbl 0665.16003Gustafson, William H.; Roggenkamp, Klaus W. 1 1987 Hereditary orders and Artin algebras of finite representation type. Zbl 0595.16025Green, Edward L.; Gustafson, William H. 3 1986 Global dimension in serial rings. Zbl 0571.16011Gustafson, William H. 15 1985 Artin rings of global dimension two. Zbl 0549.16015Green, Edward L.; Gustafson, William H.; Zacharia, Dan 7 1985 A footnote to the multiplicative basis theorem. Zbl 0575.16011Gustafson, William 1 1985 A note on matrix inversion. Zbl 0533.15002Gustafson, William H. 13 1984 Matrix completions over Dedekind rings. Zbl 0456.15010Gustafson, William H.; Moore, Marion E.; Reiner, Irving 5 1981 On matrix similarity over commutative rings. Zbl 0466.15016Gustafson, William H. 1 1981 Roth’s theorems over commutative rings. Zbl 0398.15013Gustafson, William H. 32 1979 On matrix equivalence and matrix equations. Zbl 0419.15009Gustafson, Wiliam H.; Zelmanowitz, Julius M. 11 1979 The Serre conjecture. Zbl 0392.13010Gustafson, W. H.; Halmos, P. R.; Zelmanowitz, J. M. 2 1978 Burnside rings which are Gorenstein. Zbl 0352.20014Gustafson, William H. 7 1977 Products of involutions. Zbl 0325.15009Gustafson, W. H.; Halmos, P. R.; Radjavi, H. 50 1976 On maximal commutative algebras of linear transformations. Zbl 0335.13009Gustafson, William H. 18 1976 Group rings of finite representation type. Zbl 0284.20010Gustafson, William H. 3 1974 Pathological quasi-Frobenius algebras of finite type. Zbl 0285.16011Green, Edward L.; Gustafson, William H. 2 1974 What is the probability that two group elements commute? Zbl 0276.60013Gustafson, W. H. 66 1973 Integral relative Grothendieck rings. Zbl 0274.20009Gustafson, William H. 3 1972 On an induction theorem for relative Grothendieck groups. Zbl 0223.20009Gustafson, William H. 1 1972 Remark on relatively projective modules. Zbl 0229.20014Gustafson, W. H. 2 1971 all cited Publications top 5 cited Publications all top 5 Cited by 309 Authors 8 Fuller, Kent R. 7 Guralnick, Robert Michael 7 Gustafson, William H. 7 Wang, Qingwen 5 Erfanian, Ahmad 5 Gordon, Carolyn S. 5 Nath, Rajat Kanti 5 Rezaei, Rashid 5 Russo, Francesco Giuseppe 4 Ellers, Erich W. 4 Ghouchan, Mohammad Farrokhi Derakhshandeh 4 Hou, Xin 4 Huang, Liping 4 Petrichkovich, Vasil’ Mikhaĭlovich 4 Wang, Jin-Hsien 3 Burgess, Walter D. 3 Cohen, Jo-Ann D. 3 De La Cruz, Ralph John Lamadrid 3 He, ZhuoHeng 3 Igusa, Kiyoshi 3 Jafarian Amiri, Seyyed Majid 3 Koh, Kwangil 3 Kumar Das, Ashish 3 Li, Shangzhi 3 Nicholson, W. Keith 3 Saeedi, Farshid 3 Shen, Dawei 3 Tărnăuceanu, Marius 3 Tuganbaev, Askar Akanovich 3 Watters, J. F. 3 Webb, David L. 3 Zhang, Yang 2 Abderramán Marrero, J. 2 Botha, J. D. 2 Brown, William C. 2 Courter, R. C. 2 Domokos, Mátyás 2 Dzhaliuk, Nataliia S. 2 Esmkhani, Mohammad Ali 2 Goyal, Ashish 2 Gumber, Deepak Kumar 2 Hautus, Matheus L. J. 2 Hofmann, Karl Heinrich 2 Ishibashi, Hiroyuki 2 Jezernik, Urban 2 Kalra, Hemant 2 Knüppel, Frieder 2 König, Steffen 2 Laffey, Thomas J. 2 Lescot, Paul 2 Linowitz, Benjamin 2 Liu, Shiping 2 Makover, Eran 2 Marczinzik, René 2 Markov, Viktor T. 2 Martino, Armando 2 Mikhalëv, Aleksandr Vasil’evich 2 Moghaddam, Mohammad Reza Rajabzadeh 2 Moravec, Primož 2 Nan, Ji Zhu 2 Nguyen, Hung Ngoc 2 O’Farrell, Anthony G. 2 Pan, Hongfei 2 Paquette, Charles 2 Pevzner, Igor’ M. 2 Prokip, Volodymyr M. 2 Radjavi, Heydar 2 Robinson, Donald W. 2 Robinson, Geoffrey Raymond 2 Robol, Leonardo 2 Rostami, Hojjat 2 Schüth, Dorothee 2 Simson, Daniel 2 Skornyakov, Lev Anatolevich 2 Słowik, Roksana 2 Thompson, Robert C. 2 Van der Woude, Jacob Willem 2 van Wyk, Leon 2 Vandebril, Raf 2 Wu, Peiyuan 2 Zheng, Qingqing 2 Ziembowski, Michał 2 Zimmermann-Huisgen, Birge 1 Afkhami, Mojgan 1 Ahmadidelir, Karim 1 Alawode, Michael A. 1 Alrehaili, Suad 1 Andrunakievich, Vladimir Aleksandrovich 1 Antolín, Yago 1 Arlinghaus, F. A. 1 Arnautov, Vladimir Ivanovich 1 Arora, Harsha 1 Artamonov, Vyacheslav Aleksandrovich 1 Austin, Peter C. 1 Awa, Dominic 1 Ballantine, C. S. 1 Bapat, Ravi B. 1 Bart, Hans-Jörg 1 Beddani, Charef 1 Belolipetsky, Mikhail V. ...and 209 more Authors all top 5 Cited in 69 Serials 56 Linear Algebra and its Applications 28 Journal of Algebra 24 Communications in Algebra 15 Linear and Multilinear Algebra 10 Archiv der Mathematik 9 Proceedings of the American Mathematical Society 7 Journal of Algebra and its Applications 6 Journal of Pure and Applied Algebra 5 Journal of Soviet Mathematics 5 Asian-European Journal of Mathematics 4 Bulletin of the Australian Mathematical Society 3 Mathematical Notes 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Advances in Mathematics 3 Journal of Computational and Applied Mathematics 3 Quaestiones Mathematicae 3 Transactions of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Algebras and Representation Theory 2 American Mathematical Monthly 2 Israel Journal of Mathematics 2 Annales de l’Institut Fourier 2 Automatica 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 Mathematische Zeitschrift 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Systems & Control Letters 2 SIAM Journal on Matrix Analysis and Applications 2 Aequationes Mathematicae 2 Algebra Colloquium 2 Journal of Group Theory 2 International Journal of Group Theory 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Journal of Geometry 1 Kyungpook Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 Semigroup Forum 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 The Journal of Geometric Analysis 1 Indagationes Mathematicae. New Series 1 St. Petersburg Mathematical Journal 1 Numerical Linear Algebra with Applications 1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 1 Journal of Integer Sequences 1 Lobachevskii Journal of Mathematics 1 Proyecciones 1 Ars Mathematica Contemporanea 1 Science China. Mathematics 1 ISRN Algebra 1 Journal of Linear and Topological Algebra 1 Journal of Algebra and Related Topics 1 Proceedings of the American Mathematical Society. Series B all top 5 Cited in 31 Fields 99 Group theory and generalizations (20-XX) 96 Linear and multilinear algebra; matrix theory (15-XX) 70 Associative rings and algebras (16-XX) 17 Commutative algebra (13-XX) 12 Combinatorics (05-XX) 12 \(K\)-theory (19-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Number theory (11-XX) 7 Topological groups, Lie groups (22-XX) 7 Operator theory (47-XX) 7 Numerical analysis (65-XX) 6 Category theory; homological algebra (18-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Algebraic geometry (14-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functions of a complex variable (30-XX) 4 Differential geometry (53-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 2 Field theory and polynomials (12-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Fluid mechanics (76-XX) Citations by Year