\subsection{Published items}

[1] Schur Multipliers of the Known Finite Simple
Groups, Ph.D. Thesis, University of Chicago, 1971.

[2] Schur multipliers of the known finite simple
groups, Bull. Amer. Math. Soc., 78, 68-71, 1972.

[3] Schur multipliers of finite simple groups of Lie
type, Trans. Amer. Math. Soc., 183, 355-421, 1973.

[4] A characterization of $U_3(2^n)$ by its Sylow 2-subgroup,
Trans. Amer. Math. Soc., 175, 181-186, 1973.

[5] Automorphisms of extra special groups and nonvanishing degree 2
cohomology, Pacific J. Math., 48, 403-422, 1973.

[6] Automorphisms of extra special groups and nonvanishing degree 2 cohomology
(research announcement for [5]), in Finite Groups 1972:
Proceedings of the Gainesville Conference on Finite Groups, (T. Gagen, M.
P. Hale and E. E. Shult, eds.), North Holland Publishing Co., Amsterdam,
68-73, 1973.

[7] Schur multipliers of some sporadic simple groups, J. Algebra, 32, 445-466, 1974.

[8] The automorphism group of the Tits simple group ${}^2F_4 (2)'$ (with R.
Lyons), Proc. Amer. Math. Soc., 52, 75-78, 1975.

[9] The structure of the `` Monster" simple group, Proceedings of the Conference
on Finite Groups, Park City, Utah, February 1975, Academic Press, Inc.,1976,
113-118.

[10] On a subgroup of order $2^{15}|GL(5,2)|$ in $E_8 (C)$ , the Dempwolff
group and $Aut(D_8 \circ D_8 \circ D_8)$ , J. Algebra, 40, 1976, 271-279.

[11] The splitting of extensions of $SL(3,3)$ by the vector space
$\hbox{ \bf F}_3^3$,
Pacific J. Math., 63,1976, 405-409.

[12] Maximal subgroups and field automorphisms of finite Chevalley groups
(research announcement for Maximal subgroups and field automorphisms of
finite Chevalley groups), Proceedings of the Conference
on Finite Groups, Park City, Utah, February 1975, Academic Press, Inc.,1976,
329-330.

[13] Maximal subgroups and field automorphisms of finite Chevalley groups (with
N. Burgoyne and R. Lyons), Pacific J. Math., 71, 1977, 365-403.

[14] The Frattini module (with P. Schmid), Archiv der Mathematik, 30, 1978, 256-266.

[15] Bender groups as standard subgroups (with D. R. Mason and G. M. Seitz),
Trans. Amer. Math. Soc., 1978, 238, 179-211.

[16] A remark about groups of characteristic 2-type and $p$-type, Pacific J.
Math., 74, 1978, 349-355.

[17] Finite groups whose involutions lie in the center, Quarterly J. Math., 29,
1978,
241-247.

[18] Finite groups with unbalancing 2-components of $\{L_3(4),He\}$-type (with
R. Solomon), J. Algebra, 60, 1979, 95-125.

[19] Odd standard form problems, Proceedings of the Durham Conference (survey
article), Academic Press, 1980, 199-206.

[20] Schur multipliers of the known finite simple groups, II, The Santa Cruz
Conference on Finite Groups, Amer. Math. Soc., Providence, 1980, 279-282.

[21] A construction of $F_1$ as automorphisms of a 196,883-dimensional algebra,
Proc. Natl. Acad. Sci., USA, 78, 1981, 689-691.

[22] The friendly giant, Invent. Math., 69, 1982, 1-102.

[23] Finite groups with standard components of Lie type over fields of
characteristic two (with R. H. Gilman), J. Algebra, 80, 1983, 383-516.

[24] Quotients of infinite reflection groups, Math. Ann., 263, 1983, 267-278.

[25] Schur multipliers of the known finite simple groups, III, in Proceedings
of the Rutgers Groups Theory Year, 1983-1984, 1984, Cambridge University Press,
69-80.

[26] The sporadic simple groups and construction of the monster, in Proceedings
of the International Conference of Math., Warsaw, Polish Scientific
Publishers, Warszawa; North Holland, Amsterdam, 1984, 369-384.

[27] A brief introduction to the finite simple groups, in Vertex Operators in
Mathematics and Physics, Mathematical Sciences Research Publications 3,
(J. Lepowsky, S. Mandelstam, I. Singer, eds.), Springer-Verlag, New York,1985,
217-230.

[28] A remark about representations of $\cdot 1$, Comm. Algebra, 13, 1985,
835-844.

[29] The monster and its nonassociative algebra, in Proceedings of the Montreal
Conference on Finite Groups, Contemporary Mathematics, 45, 121-157, 1985,
American Mathematical Society, Providence, RI.

[30] Code loops, J. Algebra, 100, 1986, 224-234.

[31] A structure constant problem of Goddard and Olive, dedicated to Professor
Bertram Huppert on the occasion of his sixtieth birthday, in Proceedings
of the Montreal Conference on Infinite Dimensional Lie Algebras and their
Applications, World Scientific (ed. S. Kass) , 1986

[32] Sporadic groups, code loops and nonvanishing cohomology, J. Pure Appl.
Algebra, 44, 1987, 191-214.

[33] The Schur multiplier of McLaughlin's simple group, Arch. Math. Vol. 48, 1987,
31.

[34] On finite simple subgroups of the complex Lie group of type $E_8$ (with A.
M. Cohen), Proc. Symp. Pure Math., 47, 1988, 367-405.

[35] Code loops and a large finite group containing triality for $D_4$, Proc.
Atti Del Convegno Internazionale di Teoria Dei Gruppi E Geometria
Combinatoria, Firenze, 23-25 October 1986, Serie II, 19, 1988, pg.79-98.

[36] A uniqueness proof for the monster (with U. Meierfrankenfeld and Y.
Segev), Annals, 130,1989, 567-602.

[37] A Moufang loop, the exceptional Jordan algebra and a cubic form in 27
variables, J. Algebra, Vol. 131,1990, No. 1, 281-293.

[38] Elementary Abelian $p$-subgroups of algebraic groups, Geom. Dedicata 39, 1991,
253-305.

[39] Nonlocal Lie primitive subgroups of Lie groups, Canadian Journal of Math.,
1992,
88-103 (with Arjeh Cohen).

[40] Automorphisms of Modular Lie Algebras, Nova Journal of Algebra and
Geometry, Vol. 1, No. 4, 1992, 339-345.

[41] Non-local Lie primitive subgroups of Lie groups, (with A. Cohen), Canadian
Journal of Mathematics, 45, No. 1, 1993, 88-103.

[42] The group $L(2,61)$ embeds in the Lie group of type $E_8$, (with A.Cohen
and B. Lisser), Comm. Algebra, 21(6), 1993, 1889-1907.

[43] Embeddings of $U_3(8)$, $Sz(8)$ and the Rudvalis group in algebraic groups
of type $E_7$ , (with A. Ryba), Inventiones Mathematicae 116, 1994, 1215-241
(special issue dedicated to Armand Borel).

[44] Minimal dimensions for modular representations of the Monster (with Steve
Smith), Comm. Algebra, 22(15), 1994, 6279-6294.

[45] Basic Conjugacy Theorems for $G_2$, Inventiones Math. 121, 1995, 257-277.

[46] Codes, Loops and $p$-Locals, Groups, Difference Sets and the Monster,
ed. Joe Ferrar
and Koichiro Harada, 1995, 369-375.

[47] An infinite family of elementwise conjugate nonconjugate homomorphisms,
(with P. Fong), International Research Notes in Mathematics No. 5, 1995,
249-252. (J. Arthur, ed.)

[48] Twelve Simple Groups, Springer Monographs in Mathematics,
1998, Springer-Verlag.

[49] Framed vertex operator algebras, codes and the moonshine module, (with
Chongying Dong and Gerald H\" ohn), Comm. Math. Physics, 193, 1998, 407-448.

[50] The Conjugacy classes of elements in the Borovik group (with D. Frey),
Journal of Algebra 203, 1998, 226-243.

[51] Embeddings of $PSL(2,32)$ and $PGL(2, 31)$ in $E_8(C)$ (with A. Ryba), Duke
Math. Journal, 94 (1), 1998, 181-211.

[52] Rank one lattice type vertex operator algebras and their automorphism
groups (with Chongying Dong), Journal of Algebra 208, 1998, 262-275. q-alg/9710017

[53] A vertex operator algebra related to $E_8$ with
automorphism group
$O^+(10,2)$, article in The Monster and Lie Algebras, ed. J. Ferrar and K.
Harada, deGruyter, Berlin, 1998.

[54] Finite simple groups which projectively embed in an exceptional Lie group
are classified! (with A. Ryba), Bulletin Amer. Math. Soc. 36
(1), 1999, 75-93.

[55] Rank one lattice type vertex operator algebras and their automorphism
groups, II: E-series (with Chongying Dong and A. Ryba), Journal of Algebra
217, 1999, 701-710.

[56] Automorphisms of vertex operator algebras, a survey,
Proceedings of the Raleigh Conference on affine algebras, quantum affine
algebras and related topics, 21-24 May, 1998.
Contemporary Mathematics, volume 248, American Mathematical Society,
1999.

[57] Pieces of Eight, Advances in Mathematics, 148, 75-104 (1999).

[58] Embeddings of $Sz(8)$ into exceptional Lie groups (with A. Ryba),
J. reine angew. Math., 523 (2000), 55-68.

[59] Embeddings of $PSL(2,41)$ and $PSL(2,49)$ in $E_8(C)$ (with A. Ryba)
Computational algebra and number
theory
(Milwaukee, WI, 1996). J. Symbolic Comput. 31 (2001), no. 1-2, 211--227.

[60] Quasisimple finite subgroups of exceptional
algebraic groups, with Alex Ryba, Journal of Group Theory,
2002, 1-39.

[61] Embeddings of $SL(2,27)$ in algebraic groups of
type $E_8$, with Alex Ryba, Michigan Math Journal, 50
(2002), 89-99.

[62] Automorphism groups of finitely generated
vertex operator algebras, with Chongying Dong,
Michigan Math Journal, 50 (2002). 227-239.
math.QA/0106051 [63] Frame stabilizers for the lattice vertex
operator algebra of type $E_8$,
with Gerald H\"ohn,
J. reine angew. Math., 561 (2003), 1-37.

[64] Positive definite lattices of rank at
most 8, Journal of Number Theory, 103 (2003),
77-84.

[65] GNAVOA, I. (studies in groups,
nonassociative algebras and vertex operator algbras), (about 25 pages) article in
Vertex Operator Algebras in Mathematics and Physics, with S. Berman, Y. Billig and J. Lepowsky,
Fields Institute Communications, Vol. 39, Amer. Math. Soc., Providence, 2003.

\subsection{Accepted. }

[PO$2^d$]
Pieces of $2^d$: existence and uniqueness for
Barnes-Wall and Ypsilanti lattices. 56 pages. To appear in Advances in Mathematics. math.GR/0403480

\subsection{Submitted}
[rank2+]
The rank two lattice type vertex operator algebras $V_L^+$ and their
automorphism groups, with Chongying Dong, 32 pages.
math.QA/0409409

\subsection{In Preparation. }

Several projects on groups, lattices and vertex operator algebras
are in preparation. Some are with collaborators.