George Glauberman
American mathematician
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Mathematics
George Glauberman's Degrees
- PhD Mathematics University of Chicago
- Bachelors Mathematics University of Chicago
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Why Is George Glauberman Influential?
(Suggest an Edit or Addition)According to Wikipedia, George Isaac Glauberman is a mathematician at the University of Chicago who works on finite simple groups. He proved the ZJ theorem and the Z* theorem. Born in New York City on March 3, 1941, Glauberman did his undergraduate studies at the Polytechnic Institute of Brooklyn, graduating in 1961, and earned a master's degree from Harvard University in 1962. He obtained his PhD degree from the University of Wisconsin–Madison in 1965, under the supervision of Richard Bruck. He has had 22 PhD students, including Ahmed Chalabi and Peter Landrock, the president and founder of Cryptomathic. He has co-authored with J. L. Alperin, Simon P. Norton, Zvi Arad, and Justin Lynd.
George Glauberman's Published Works
Published Works
- Central elements in core-free groups (1966) (456)
- Proof of Theorem A (1977) (172)
- On loops of odd order II (1968) (155)
- On loops of odd order (1964) (140)
- Correspondences of Characters for Relatively Prime Operator Groups (1968) (116)
- A Characteristic Subgroup of a p-Stable Group (1968) (83)
- Factorizations in local subgroups of finite groups (1977) (77)
- Fixed points in groups with operator groups (1964) (60)
- Nilpotence of finite Moufang 2-loops (1968) (54)
- Local Analysis for the Odd Order Theorem (1995) (39)
- Subgroups of finite groups (1967) (38)
- A Sufficient Condition for p‐Stability (1972) (37)
- On Solvable Signalizer Functors in Finite Groups (1976) (36)
- Prime-power factor groups of finite groups. II (1968) (36)
- Weakly closed elements of Sylow subgroups. II (1968) (33)
- On the automorphism group of a finite group having no non-identity normal subgroups of odd order (1966) (24)
- Weakly closed elements of Sylow subgroups (1968) (23)
- Centrally large subgroups of finite p-groups (2006) (22)
- Limits of Abelian Subgroups of Finitep-Groups (1998) (21)
- On McKay’s connection between the affine ₈ diagram and the monster (2001) (20)
- FAILURE OF FACTORIZATION IN p-SOLVABLE GROUPS (1973) (20)
- Control of fixed points and existence and uniqueness of centric linking systems (2015) (20)
- Isomorphic Subgroups of Finite p-Groups. I (1971) (19)
- A Pair of Characteristic Subgroups for Pushing‐Up in Finite Groups (1983) (18)
- Quadratic Elements in Unipotent Linear Groups (1972) (17)
- On Burnside's other $p^{a}q^{b}$ theorem. (1975) (15)
- A characteristic subgroup of a group of odd order (1975) (14)
- Characters of finite groups with dihedral Sylow 2-subgroups (1981) (14)
- Prime-power factor groups of finite groups (1968) (14)
- p-Groups with maximal elementary abelian subgroups of rank 2 (2010) (13)
- On a class of doubly transitive permutation groups (1969) (12)
- Large Abelian Subgroups of Finitep-Groups (1997) (12)
- A characterization of the Suzuki groups (1968) (10)
- Weakly closed direct factors of Sylow subgroups. (1968) (10)
- Large subgroups of small class in finite p-groups (2004) (9)
- On groups with a quaternion Sylow 2-subgroup (1974) (9)
- Normalizers of p-subgroups in finite groups (1969) (9)
- Abelian subgroups of small index in finite p-groups (2005) (8)
- A note on groups generated by involutions and sharply 2-transitive groups (2014) (7)
- Fixed point subgroups that contain centralizers of involutions (1972) (7)
- Direct factors of Sylow 2-subgroups. II (1974) (6)
- Engel Congruences in Groups of Prime-Power Exponent (1966) (5)
- Existence of normal subgroups in finite p-groups (2008) (5)
- On the Suzuki groups and the outer automorphisms of S 6 (1996) (4)
- The Final Contradiction (1995) (4)
- Set Covering and Serre's Theorem on the Cohomology Algebra of a p-Group (2001) (4)
- ON BURNSIDE'S OTHER pq THEOREM (2012) (4)
- ON BURNSIDE'S OTHER pq THEOREM (2012) (4)
- Groups with Identical k-Profiles (2015) (4)
- Factorizations for 2‐Constrained Groups (1980) (3)
- A new characteristic subgroup of a p-stable group (2012) (3)
- Rigid automorphisms of linking systems (2019) (2)
- Centers of Sylow subgroups and automorphisms (2019) (2)
- Large Abelian Subgroups of Groups of Prime Exponent (2001) (2)
- More on a question of M. Newman on isomorphic subgroups of solvable groups (2018) (1)
- Coverings and coverings (1994) (1)
- A partial analogue of Borel's Fixed Point Theorem for finite p-groups (2016) (1)
- A pair of characteristic subgroups for pushing-up. II (2012) (1)
- Groups St Andrews 2005: A note on abelian subgroups of p -groups (2007) (0)
- Factorizations for =2 (1977) (0)
- Correction to: ``A characteristic subgroup of a group of odd order''. (1975) (0)
- Local Analysis for the Odd Order Theorem: Further Results of Feit and Thompson (1995) (0)
- Local Analysis for the Odd Order Theorem: Prerequisites and p -Stability (1995) (0)
- Actions and Invariants of Residually Finite Groups: Asymptotic Methods (2010) (0)
- Local Analysis for the Odd Order Theorem: Maximal Subgroups (1995) (0)
- Control of fixed points and existence and uniqueness of centric linking systems (2016) (0)
- Local Analysis for the Odd Order Theorem: The Puig Subgroup (1995) (0)
- Local Analysis for the Odd Order Theorem: Bibliography (1995) (0)
- Local Analysis for the Odd Order Theorem: The Uniqueness Theorem (1995) (0)
- Local Analysis for the Odd Order Theorem: The Family of All Maximal Subgroups of G (1995) (0)
- Local Analysis for the Odd Order Theorem: Preliminary Results (1995) (0)
- Local Analysis for the Odd Order Theorem: CN -Groups of Odd Order (1995) (0)
- Products of elements of even order (2014) (0)
- A NOTE ON FINITE p-GROUPS WITH A MAXIMAL ELEMENTARY SUBGROUP OF RANK 2 (2011) (0)
- Reductions to Local Subgroups and Sections (1977) (0)
- NORMALIZERS OF ^-SUBGROUPS IN FINITE GROUPS (2012) (0)
- NORMALIZERS OF ^-SUBGROUPS IN FINITE GROUPS (2012) (0)
- On a combinatorial problem associated with the odd order theorem (1993) (0)
- Problems for Solution: E1411-E1415 (1960) (0)
- Isomorphic Subgroups of Finite p-Groups. II (1971) (0)
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