Ronald Solomon
American mathematician
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Mathematics
Ronald Solomon's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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(Suggest an Edit or Addition)According to Wikipedia, Ronald "Ron" Mark Solomon is an American mathematician specializing in the theory of finite groups. Solomon studied as an undergraduate at Queens College and received a PhD in 1971 at Yale University under Walter Feit with a thesis entitled Finite Groups with Sylow 2-Subgroups of the Type of the Alternating Group on Twelve Letters. In 1972, he began his participation in the classification program for finite simple groups, after hearing a lecture by Daniel Gorenstein. He was for two years an instructor at the University of Chicago and the academic year 1974–1975 at Rutgers University, before he became a professor at Ohio State University, where he has remained. In 2006, he received the Levi L. Conant Prize and in 2012 the Leroy P. Steele Prize. In 2012, he was elected a Fellow of the American Mathematical Society.
Ronald Solomon's Published Works
Published Works
- The Classification of the Finite Simple Groups (1983) (823)
- The Classification of the Finite Simple Groups, Number 2 (1995) (262)
- Chains of subgroups in symmetric groups (1989) (95)
- A brief history of the classification of the finite simple groups (2001) (74)
- Finite groups with Sylow 2-subgroups of type a12 (1973) (71)
- The Classification of the Finite Simple Groups, Number 8 (2018) (71)
- Rumination Collars: What Can They Tell Us (2010) (45)
- Simple groups are characterized by their non-commuting graphs (2013) (38)
- The Classification of the Finite Simple Groups, Number 6 (2004) (26)
- Smith equivalence and finite Oliver groups with Laitinen number 0 or 1 (2002) (25)
- Afterword to the article “A brief history of the classification of the finite simple groups” (2018) (23)
- The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (2011) (22)
- Chains of Subgroups in Groups of Lie Type III (1990) (21)
- The Classification of the Finite Simple Groups, Number 5 (2002) (21)
- The Classification of the Finite Simple Groups, Number 4 (1999) (20)
- Finite groups having an involution centralizer with a $2$-component of dihedral type, II (1977) (19)
- Chains of subgroups in groups of Lie type I (1990) (18)
- Finite groups with Sylow 2-subgroups of type Ω(7, q), q ≡ ±3 (mod 8) (1974) (14)
- Standard components of alternating type, I (1976) (14)
- Finite groups with intrinsic 2-components of type Ân (1975) (12)
- A note on tightly embedded subgroups (1978) (10)
- Finite Simple Groups of Bounded Subgroup Chain Length (2000) (10)
- Integral equivalence of permutation represent ations (1998) (9)
- Finite groups with unbalancing 2-components of {L̂3(4), He}-type (1979) (9)
- The Classi cation of Finite Simple Groups (1994) (8)
- Toward a characterization of the sporadic groups of Suzuki and Thompson (2002) (7)
- Maximal 2-components in finite groups (1976) (7)
- Finite Groups of Chain Difference One (2000) (7)
- On Finite Simple Groups and Their Classification by Ron Solomon (1999) (7)
- Simple groups transitive on internal flags (1976) (6)
- On Certain 2‐Local Blocks (1981) (6)
- Groups, Difference Sets, and the Monster: Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993 (1996) (6)
- Some sporadic characterizations (1981) (6)
- The Classification of Finite Simple Groups: A Progress Report (2018) (6)
- Finite simple groups with a standard 3-component of type Sp(2n, 2), n ⩾ 4 (1979) (5)
- Some standard components of sporadic type (1978) (5)
- IDENTIFYING CONGRUENCE SUBGROUPS OF THE MODULAR GROUP (1996) (5)
- Toward a Characterization of Conway's Group Co3 (2003) (5)
- Finite groups with small unbalancing 2-components (1979) (5)
- A presentation of the symplectic and orthogonal groups (1979) (4)
- Characterizations without characters (1991) (4)
- On L2(2n)‐Blocks (1981) (4)
- 2-Signalizers in finite groups of alternating type (1978) (4)
- Free Quotients of Sl 2 (r[x]) (1997) (4)
- On Split (B, N)-Pairs of Rank 2 (1993) (4)
- General group theory (2002) (4)
- Proceedings of a special research quarter on Groups, difference sets, and the monster (1996) (3)
- On defect groups and p-constraint (1974) (3)
- A characterization of HN (2008) (3)
- A new characteristic subgroup of a p-stable group (2012) (3)
- Outline of proof (1994) (3)
- The vertex primitive and vertex bi-primitive s-arc regular graphs (2010) (3)
- Finite groups having a standard component L of type Mˆ12 or Mˆ22 (2008) (3)
- COPRIMENESS AMONG IRREDUCIBLE CHARACTER DEGREES OF FINITE SOLVABLE GROUPS (1997) (2)
- Standard components of type $M\sb12$ and $\cdot 3$ (1979) (2)
- On Finite Simple Groups and Their (1995) (2)
- The Classification of the Finite Simple Groups, Number 7, Part 7: Part III, Chapters 7–11: The Generic Case, Stages 3b and 4a (2018) (2)
- Frattini closed groups and adequate extensions of global fields (2002) (2)
- Representation theory of finite groups : proceedings of a special research quarter at the Ohio State University, spring, 1995 (1997) (2)
- Group theory : proceedings of the Biennial Ohio State - Denison Conference 14-16 May 1992, Granville, Ohio (1993) (2)
- Finite groups with a standard 3-component isomorphic to Ω±(2m, 2), m ⩾ 5, F4(2) or En(2), n = 6, 7, 8 (1981) (1)
- The Identification of Finite Groups of PSL (5, q)‐Type and PSU (5, q)‐Type (1975) (1)
- The Classification of the Finite Simple Groups, Number 9 (2021) (1)
- Book Review: The classification of quasithin groups I, II (2005) (1)
- An odd order remark (1990) (1)
- A Characteristic Subgroup of a p-Stable Group (2012) (1)
- On groups of hyperbolic length (1997) (1)
- A characterization of HN: addendum (2009) (1)
- The Shape of the Classification of the Finite Simple Groups (2001) (1)
- Properties of -groups (1999) (0)
- FINITE GROUPS OF ALTERNATING TYPE (1976) (0)
- Some theory of linear algebraic groups (1997) (0)
- A First Course in Group Theory. By Cyril F. Gardiner (1983) (0)
- Theorem ₇: General introduction (2002) (0)
- The classification of groups of (2) type (2011) (0)
- The final contradiction: Eliminating the Uniqueness Case (2011) (0)
- Theorem ₃: Stages 2 and 3 (2004) (0)
- General properties of -groups (1997) (0)
- Review: Symmetry and the Monster by Mark Ronan (2008) (0)
- Review: Derek F. Holt and W. Plesken, Perfect groups (1991) (0)
- Preliminary properties of 𝒦-groups (2004) (0)
- General group-theoretic results (2002) (0)
- Michio Suzuki (1926–1998), Volume 46, Number 5 (1999) (0)
- Reviews (2008) (0)
- Local subgroups of groups of Lie type, II (1997) (0)
- Overview: The classification of groups of Gorenstein-Walter type (2011) (0)
- Brauer pairs with the same projective character tables (1990) (0)
- ()=3: The classification of rank 3 groups (2011) (0)
- The classification of groups of standard type (2011) (0)
- ErratumErratum to “Walter Feit” [J. Algebra 319 (2008) 491–492] (2008) (0)
- Component uniqueness theorems (1999) (0)
- ()≤2: The classification of quasithin groups (2011) (0)
- Adequate field extensions and Frattini closed groups (2017) (0)
- All of Mathematics Is Easy Once You Know How to Do It (2010) (0)
- Theorem *₇: Stage 1 (2004) (0)
- Coverings and embeddings of quasisimple -groups (1997) (0)
- Characterizing Lie Type Groups (2012) (0)
- SINGER GROUPS, AN APPROACH FROM A GROUP OF MULTIPLIERS OF EVEN ORDER (2010) (0)
- Overview of some techniques used in the classification (2011) (0)
- The alternating groups and the twenty-six sporadic groups (1997) (0)
- A survey on chains of subgroups (1993) (0)
- A Hyperbolic-by-hyperbolic Hyperbolic Group given a Short Exact Sequence of Nitely Generated Groups (1997) (0)
- Strongly embedded subgroups and related conditions on involutions (1999) (0)
- Some background material related to simple groups (2011) (0)
- Overview: The classification of groups of characteristic 2 type (2011) (0)
- The finite groups of Lie type (1997) (0)
- ()≥4: The pretrichotomy and trichotomy theorems (2011) (0)
- General introduction to the special odd case (2004) (0)
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