Robert Griess
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American mathematician
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Mathematics
Why Is Robert Griess Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robert Louis Griess, Jr. is a mathematician working on finite simple groups and vertex algebras. He is currently the John Griggs Thompson Distinguished University Professor of mathematics at University of Michigan.
Robert Griess's Published Works
Published Works
- The friendly giant (1982) (158)
- Schur multipliers of the known finite simple groups (1972) (122)
- Automorphisms of extra special groups and nonvanishing degree $2$ cohomology. (1973) (109)
- Rank One Lattice Type Vertex Operator Algebras and Their Automorphism Groups (1997) (97)
- Elementary abelian p-subgroups of algebraic groups (1991) (93)
- Twelve Sporadic Groups (1998) (78)
- Schur multipliers of finite simple groups of Lie type (1973) (76)
- On finite simple subgroups of the complex Lie group of type $E_8$ (1987) (51)
- A vertex operator algebra related to E8 with automorphism group O+(10, 2) (2008) (36)
- Integral forms in vertex operator algebras which are invariant under finite groups (2012) (34)
- Finite simple groups which projectively embed in an exceptional Lie group are classified (1999) (29)
- A uniqueness proof for the Monster (1989) (29)
- THE STRUCTURE OF THE “MONSTER” SIMPLE GROUP (1976) (28)
- $EE_8$-lattices and dihedral groups (2008) (27)
- Basic conjugacy theorems forG2 (1995) (27)
- A Moufang loop, the exceptional Jordan algebra, and a cubic form in 27 variables (1990) (27)
- Sporadic groups, code loops and nonvanishing cohomology (1987) (26)
- Maximal subgroups and automorphisms of Chevalley groups (1977) (25)
- Schur multipliers of some sporadic simple groups (1974) (25)
- Pieces of Eight: Semiselfdual Lattices and a New Foundation for the Theory of Conway and Mathieu Groups (1999) (21)
- Automorphism groups and derivation algebras of finitely generated vertex operator algebras (2001) (21)
- The group L(2,61) embeds in the Lie group of type $E_8$ (1993) (21)
- On a subgroup of order 215 ¦GL (5,2) ¦in E8 (C), the Dempwolff group and aut (D8 o D8 o D8) (1976) (21)
- A construction of F(1) as automorphisms of a 196,883-dimensional algebra. (1981) (20)
- Bender groups as standard subgroups (1978) (20)
- Virasoro frames and their stabilizers for the E8 lattice type vertex operator algebra (2001) (19)
- Embeddings ofU3(8),Sz(8) and the Rudvalis group in algebraic groups of typeE7 (1994) (16)
- Corrections and additions to `` Pieces of $2^d$: existence and uniqueness for Barnes-Wall and Ypsilanti lattices. '' (2004) (16)
- A moonshine path for 5A and associated lattices of ranks 8 and 16 (2010) (16)
- An introduction to groups and lattices : finite groups and positive definite rational lattices (2011) (15)
- Positive definite lattices of rank at most 8 (2003) (14)
- The automorphism group of the Tits simple group ²₄(2)^{’} (1975) (13)
- Quotients of infinite reflection groups (1983) (13)
- Finite groups whose involutions lie in the center (1978) (13)
- Classification of finite quasisimple groups which embed in exceptional algebraic groups (2001) (12)
- Groups of Lie type, vertex algebras, and modular moonshine (2014) (12)
- Embeddings of SL(2,27) in complex exceptional algebraic groups (2002) (11)
- Embeddings of $PGL_2(31)$ and $SL_2(32)$ in $E_8(\mathbb{C})$ (1998) (10)
- Rank 72 high minimum norm lattices (2009) (10)
- Finite groups with standard components of Lie type over fields of characteristic two (1983) (9)
- Finite groups with unbalancing 2-components of {L̂3(4), He}-type (1979) (9)
- Lattice-integrality of certain group-invariant integral forms in vertex operator algebras (2014) (8)
- Non-Local Lie Primitive Subgroups of Lie Groups (1993) (8)
- The splitting of extensions of SL(3,3) by the vector space F33. (1976) (7)
- Rootless pairs of EE8-lattices (2008) (7)
- Involutions on the Barnes-Wall Lattices and their Fixed Point Sublattices, I (2005) (6)
- Conjugacy Classes of Elements in the Borovik Group (1998) (6)
- A remark about representations of 1 (1985) (6)
- Diagonal lattices and rootless EE8 pairs (2011) (5)
- A moonshine path from E8 to the Monster (2011) (5)
- The rank-2 lattice-type vertex operator algebras $V_L^+$ and their automorphism groups (2004) (5)
- Rootless pairs of $EE_8$-lattices (2008) (5)
- Corrections and additions to "Pieces of 2d: Existence and uniqueness for Barnes-Wall and Ypsilanti lattices" [Adv. Math. 196 (2005) 147-192] (DOI:10.1016/j.aim.2004.08.014) (2007) (5)
- Applications of vertex algebra covering procedures to Chevalley groups and modular moonshine (2013) (5)
- On the uniqueness of the moonshine vertex operator algebra (2005) (5)
- Embeddings of / 23 ( 8 ) , Sz ( 8 ) and the Rudvalis group in algebraic groups of type E 7 (4)
- Moonshine paths for 3A and 6A nodes of the extended E8-diagram (2012) (4)
- A new existence proof of the Monster by VOA theory (2011) (4)
- Embeddings of PSL(2, 41) and PSL(2, 49) in E8(C) (2001) (4)
- Few-cosine spherical codes and Barnes-Wall lattices (2006) (3)
- An infinite family of elementwise-conjugate nonconjugate homomorphisms (1995) (3)
- FIELD AUTOMORPHISMS AND MAXIMAL SUBGROUPS OF FINITE CHEVALLEY GROUPS (1976) (3)
- Basic conjugacy theorems for 6 ; 2 (2005) (3)
- Determinants for integral forms in lattice type vertex operator algebras (2019) (3)
- Minimal dimensions for modular representations of the monster (1994) (2)
- A Brief Introduction to the Finite Simple Groups (1985) (1)
- Integral forms in vertex operator algebras, a survey (2019) (1)
- Research topics in finite groups and vertex algebras (2019) (1)
- The Mathematics of Donald Gordon Higman (2009) (1)
- A characterization of ₃(2ⁿ) by its Sylow 2-subgroup (1973) (1)
- Midwest cousins of Barnes-Wall lattices version 7 January , 2000 (2000) (0)
- Embeddings of Sz(8) in E8(ℂ) (2000) (0)
- Subgroups of M 24 (1998) (0)
- The Golay Code (1998) (0)
- Assumed Results about Particular Groups (1998) (0)
- My life and times with the sporadic simple groups (2021) (0)
- Generation Three of the Happy Family and the Pariahs (1998) (0)
- SCHUR MULTIPLIERS OF KNOWN FINITE SIMPLE GROUPS 69 Held 1 Suzuki (2007) (0)
- The E 8-lattice , the Leech lattice and beyond Math Club Talk , U of Michigan , 21 Oct . , 2010 Post-Talk Draft – corrections , comments welcome ( October 22 , 2010 ) (0)
- Michigan Math. J. 58 (2009) bio (2009) (0)
- John Conway, My Thoughts After His Passing (2020) (0)
- Summary of GNAVOA, I. : Studies in groups, nonassociative algebras and vertex operator algebras (Algebraic Combinatorics) (2003) (0)
- Special Issue in Memory of Donald G. Higman (2009) (0)
- The Leech Lattice and Conway Groups (1998) (0)
- A remark about groups of characteristic $2$-type and $p$-type. (1978) (0)
- A 3C-path for Glauberman-Norton theory (2009) (0)
- A moonshine path from $E_8$ to the monster (2009) (0)
- Midwest cousins of Barnes-Wall lattices (2009) (0)
- Editorial (2020) (0)
- The rank two lattice type vertex operator (2004) (0)
- Notations for lattices and bounds of Hermite and Minkowski 3 3 The classification 5 4 Appendix : Background material for lattices 6 1 (2008) (0)
- The Ternary Golay Code and 2· M 12 (1998) (0)
- (previous title of preprint: A 3C-path for Glauberman-Norton theory) (2009) (0)
- commutative nonassociative algebra/Leech lattice) (2016) (0)
- BookReview Symmetry and theMonster , One of the Greatest Quests ofMathematics (2006) (0)
- The Schur multiplier of McLaughlin's simple group (1987) (0)
- Subgroups of the Conway Groups; the Simple Groups of Higman-Sims, McLaughlin, Hall-Janko and Suzuki; Local Subgroups; Conjugacy Classes (1998) (0)
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