Donald S. Passman | Academic Influence

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Donald S. Passman

Mathematics

#3869

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#5607

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Measure Theory

#1370

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#1720

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Mathematics

Donald S. Passman's Degrees

PhD Mathematics Stanford University
Masters Mathematics Stanford University
Bachelors Mathematics Stanford University

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Why Is Donald S. Passman Influential?

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According to Wikipedia, Donald Steven Passman is an American mathematician, specializing in ring theory, group theory, and Lie algebra theory. Biography After attending the Bronx High School of Science, Passman matriculated at the Polytechnic Institute of Brooklyn, where he graduated with B.S. in 1960. He then became a graduate student in mathematics at Harvard University, where he graduated with M.A. in 1961 and Ph.D. in 1964. His doctoral dissertation was written under the supervision of Richard Brauer. Passman was an assistant professor from 1964 to 1966 at the University of California, Los Angeles and from 1966 to 1969 at Yale University. At the University of Wisconsin–Madison, he was from 1969 to 1971 an associate professor, from 1971 to 1995 a full professor, and from 1995 to 2011 the Richard Brauer Professor of Mathematics. In 2011 he retired as professor emeritus.

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Donald S. Passman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The algebraic structure of group rings (1977) (1537)
Character Theory of Finite Groups (2010) (1219)
Infinite Crossed Products (1989) (430)
Units in integral group rings (1981) (180)
Infinite group rings (1971) (146)
All you need to know about the music business (1991) (128)
Lie Solvable Group Rings (1973) (102)
DOWN-UP ALGEBRAS (96)
A CHARACTERIZATION OF GROUPS IN TERMS OF THE DEGREES OF THEIR CHARACTERS (1965) (93)
Prime ideals in crossed products of finite groups (1979) (88)
Noetherian down-up algebras (1999) (83)
Derivations of Skew Polynomial Rings (1995) (74)
Simple Lie Algebras of Witt Type (1998) (59)
Permutation Groups (2012) (58)
It's essentially Maschke's theorem (1983) (58)
Computing the symmetric ring of quotients (1987) (55)
Group algebras whose units satisfy a group identity. II (1997) (51)
Radicals of Twisted Group Rings, II (1970) (50)
Groups with normal solvable Hall $p’$-subgroups (1966) (50)
Nonnormal subgroups of p-groups (1970) (48)
Nil ideals in group rings. (1962) (42)
Isomorphic groups and group rings (1965) (41)
Groups with Representations of Bounded Degree (1964) (40)
Burnside's theorem for hopf algebras (1995) (36)
Half-Transitive Automorphism Groups (1966) (34)
Enveloping algebras satisfying a polynomial identity (1990) (32)
The group algebras of groups of order $p^4$ over a modular field. (1965) (29)
Group rings, crossed products, and Galois theory (1971) (29)
Centers and Prime Ideals in Group Algebras of Polycyclic-by-Finite Groups (1979) (28)
Advances in group rings (1974) (27)
Fixed rings and integrality (1981) (26)
A DESCRIPTION OF INCIDENCE RINGS OF GROUP AUTOMATA (2007) (25)
Unitary units in group algebras (2001) (24)
Prime ideals in normalizing extensions (1981) (24)
Group rings with simple augmentation ideals (1976) (21)
Prime ideals in enveloping rings (1987) (21)
Infinite crossed products and group-graded rings (1984) (21)
Universal fields of fractions for polycyclic group algebras (1982) (20)
Representations of the Gupta-Sidki group (1996) (20)
Groups whose irreducible representations have degrees dividing $p^{2}$. (1966) (19)
Delta methods in enveloping rings (1990) (19)
Exceptional $3/2$-transitive permutation groups. (1969) (19)
Addendum—Prime ideals in crossed products of finite groups (1980) (18)
Linear groups and group rings (2006) (18)
p-solvable doubly transitive permutation groups (1968) (17)
Observations on crossed products and fixed rings (1980) (17)
Primitive group rings. (1973) (16)
Prime Ideals in Group Algebras OE Polycyclic‐by‐Finite Groups (1981) (16)
On the semisimplicity of twisted group algebras (1970) (16)
Surgery with Coefficients in a Field (1972) (15)
Units in modular group rings (1970) (14)
Solvable half-transitive automorphism groups (1967) (14)
Delta Ideals of Lie Color Algebras (1995) (14)
Primitive noetherian group rings (1978) (14)
Linear identities in group rings. I (1971) (14)
Blocks and normal subgroups (1969) (13)
The adjoint representation of group algebras and enveloping algebras (1992) (13)
A new radical for group rings (1974) (13)
Free groups in normal subgroups of the multiplicative group of a division ring (2015) (13)
Construction of free subgroups in the group of units of modular group algebras (1996) (13)
Outer Galois theory prime rings (1984) (13)
Groups whose irreducible representations have degrees dividing $p^{\mathrm{e}}$ (1964) (13)
integrality and Normalizing Extensions of Rings (1979) (12)
Group rings satisfying a polynomial identity. II. (1971) (12)
Finite groups with small character degrees and large prime divisors. II. (1967) (12)
On the semisimplicity of group rings of solvable groups (1972) (12)
Two applications of maschke's theorem (1980) (12)
Central idempotents in group rings (1969) (11)
On the ring of quotients of a group ring (1972) (11)
Solvable 32-transitive permutation groups (1967) (11)
ON THE SEMISIMPLICITY OF GROUP RINGS OF LINEAR GROUPS. II (1973) (11)
On the semisimplicity of modular group algebras (1969) (10)
Idempotents in group rings (1971) (10)
POLYCYCLIC RESTRICTED LIE ALGEBRAS (2001) (10)
Involutions and free pairs of bicyclic units in integral group rings (2011) (10)
Invariant ideals of abelian group algebras under the multiplicative action of a field. II (2001) (10)
Semiprimitivity of Group Algebras of Locally Finite Simple Groups (1993) (10)
SEMIPRIMITIVITY OF GROUP ALGEBRAS OF LOCALLY FINITE GROUPS (1993) (9)
Representation Theory, Group Rings, and Coding Theory (1989) (9)
The Jacobson radical of a group ring of a locally solvable group (1979) (9)
Some isolated subsets of infinite solvable groups. (1973) (8)
What is a Group Ring (1976) (8)
The semiprimitivity problem for group algebras of locally finite groups (1996) (8)
Finitely generated simple algebras: A question of B. I. Plotkin (2004) (8)
Explicit free groups in division rings (2014) (8)
Semiprimitivity of group algebras of locally finite groups. II (1996) (8)
Character Theory and Group Rings (2010) (7)
THE SEMIPRIMITIVITY OF GROUP ALGEBRAS (7)
PRIME LIE RINGS OF DERIVATIONS OF COMMUTATIVE RINGS IN CHARACTERISTIC 2 (2007) (7)
MULTIPLICATIVE JORDAN DECOMPOSITION IN GROUP RINGS OF 3-GROUPS (2009) (7)
Semiprimitivity of group algebras of infinite simple groups of Lie type (1994) (7)
Simple Lie Algebras of Special Type (2000) (7)
Invariant Ideals of Abelian Group Algebras Under the Action of Simple Linear Groups. (2002) (6)
Generalized Frobenius complements (1966) (6)
Elementary Bialgebra Properties of Group Rings and Enveloping Rings: An Introduction to Hopf Algebras (2014) (6)
On the semisimplicity of group rings of some locally finite groups. (1975) (6)
ALGEBRAIC ELEMENTS IN GROUP RINGS (1990) (6)
TRACE METHODS IN TWISTED GROUP ALGEBRAS (2001) (6)
Invariant ideals of abelian group algebras and representations of groups of Lie type (2001) (5)
Trace methods in twisted group algebras, II (2000) (5)
Semi-invariants and weights of group algebras of finite groups (1999) (5)
Delta methods in enveloping algebras of Lie superalgebras (1992) (5)
Groups with all irreducible modules of finite degree (2000) (5)
Subnormality in Locally Finite Groups (1974) (5)
SEMIPRIMITIVITY OF GROUP ALGEBRAS: PAST RESULTS AND RECENT PROGRESS (5)
SEMIPRIMITIVITY OF GROUP ALGEBRAS: PAST RESULTS AND RECENT PROGRESS (5)
The Semiprimitivity Problem for Twisted Group Algebras of Locally Finite Groups (1996) (5)
Prime ideals in polycyclic crossed products (1987) (5)
The Jacobian of a growth transformation (1973) (5)
Groups with Relatively Few Non-Linear Irreducible Characters (1968) (5)
Free products in linear groups (2003) (5)
PURE AND APPLIED MATHEMATICS A Program of Monographs, Textbooks, and Lecture Notes (2006) (4)
Nonexistence of partial traces for group actions (1981) (4)
X-inner automorphisms of crossed products and semi-invariants of Hopf algebras (1986) (4)
The Jacobson radical of group rings of locally finite groups (1997) (4)
Cancellative Group-Graded Rings (1984) (4)
Invariant ideals and polynomial forms (2002) (4)
Filtrations in semisimple Lie algebras, I (2008) (4)
X-inner automorphisms of enveloping rings (1990) (4)
Contemporary Mathematics Free Subgroups in Linear Groups and Group Rings (2007) (4)
Twisted Group Algebras of Discrete Groups (1970) (3)
On the Semisimplicity of Modular Group Algebras. II (1969) (3)
Invariant ideals of abelian group algebras under the torus action of a field, II☆ (2010) (3)
Minimal ideals in group rings (1972) (3)
Delta Methods in Enveloping Algebras of Lie Superalgebras, II (1994) (3)
Involutory Hopf algebras (1995) (3)
Prime ideals in fixed rings of free algebras (1987) (3)
Radicals of group rings (1974) (3)
Group rings satisfying a polynomial identity. III (1972) (3)
The radical of the center of a group algebra (1980) (3)
Some 5∕2 transitive permutation groups (1969) (2)
Computing the connes spectrum of a Hopf algebra (1992) (2)
ARTINIAN DUO RINGS AND SELF-DUALITY (2010) (2)
ENVELOPING ALGEBRAS OF LIE COLOR ALGEBRAS : PRIMENESS VERSUS GRADED-PRIMENESS (1998) (2)
Finitary Actions and Invariant Ideals (2007) (2)
GROUPS WITH NORMAL, (2010) (2)
Skew group rings and free rings (1990) (2)
On groups with enough finite representations (1963) (2)
Filtrations in semisimple rings (2005) (2)
Filtrations in Semisimple Lie Algebras , III (2008) (1)
SEMIPRIMITIVITY OF GROUP ALGEBRAS: A SURVEY (2010) (1)
Prime Ideals in Crossed Products (1992) (1)
A note on the action of $p$-groups on abelian groups (1966) (1)
SEMIPRIMITIVITY OF GROUP ALGEBRAS: A SURVEY (2010) (1)
Classical ring of quotients (2004) (1)
The type i part of a group ring (1974) (1)
Ultraproducts and the Group Ring Semiprimitivity Problem (1996) (1)
CORRECTIONS TO: "ISOMORPHIC GROUPS AND GROUP RINGS" (1972) (1)
Finite presentation (2019) (1)
Erratum to “Linear groups and group rings” [J. Algebra 295 (2006) 94–118] (2007) (1)
CHARACTER KERNELS OF DISCRETE GROUPS (1966) (1)
On the counterexamples to the unit conjecture for group rings (2021) (1)
Maximal ring of quotients (2004) (1)
Shorter Notes: Central Idempotents in Group Rings (1969) (1)
Groups, rings and algebras : a conference in honor of Donald S. Passman, June 10-12, 2005, the University of Wisconsin-Madison, Madison, Wisconsin (2006) (0)
Book Review: Multiplicative invariant theory (2006) (0)
Crossed Products of Infinite Groups (2003) (0)
Completely reducible modules (2004) (0)
Graded rings and modules (2004) (0)
GROUP RINGS SATISFYING A POLYNOMIAL IDENTITY. Ill d. s. passman (2010) (0)
CHARACTER KERNELS OF DISCRETE GROUPS1 (2010) (0)
“MULTIPLICATIVE INVARIANT THEORY” BY MARTIN LORENZ (2006) (0)
Polynomial and Inverse Forms (2006) (0)
^-SOLVABLE DOUBLY TRANSITIVE PERMUTATION GROUPS (2004) (0)
Rings and Fixed Rings (2003) (0)
Skew polynomial rings (2004) (0)
CENTRAL IDEMPOTENTS IN GROUP RINGS1 (2010) (0)
Nil ideals of bounded degree in group rings (1982) (0)
Uniform injective modules (2004) (0)
Galois Theory and Crossed Products (2003) (0)
Zero Divisors in Group Rings (2003) (0)
LINEAR IDENTITIES IN GROUP RINGS, II (2012) (0)
LINEAR IDENTITIES IN GROUP RINGS, II (2012) (0)
MINIMAL IDEALS IN GROUP RINGS d. s. passman (2010) (0)
On the goldie rank of group algebras (1985) (0)
Lectures on Linear Algebra (2022) (0)
Δ-Methods in Group Rings (2003) (0)
Crossed Products of Finite Groups (2003) (0)
Invariant IdeaIs of Abelian Group AIgebras Under the Action of SimpIe Linear Groups 1 (2002) (0)
Modules and homomorphisms (2004) (0)
Permutational and rewritable groups (2018) (0)
The Jacobson Radical of Group Rings (2003) (0)
Polycyclic Group Rings (2003) (0)

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