[图书][B] The finite simple groups

R Wilson - 2009 - Springer
Thisbookisintendedasanintroductiontoallthe? nitesimplegroups. During
themonumentalstruggletoclassifythe? nitesimplegroups (andindeedsince), a huge amount of …

[图书][B] Inverse galois theory

G Malle, BH Matzat - 1999 - Springer
Inverse Galois Theory is concerned with the question which finite groups occur as Galois
groups over a given field K. In particular this includes the question on the structure and the …

[图书][B] The maximal factorizations of the finite simple groups and their automorphism groups

MW Liebeck, CE Praeger, J Saxl - 1990 - books.google.com
Factorizations of finite groups as a product of two proper subgroups arise naturally in several
areas of group theory, geometry, and applications. In this book, the authors determine all …

[图书][B] Representations of groups: a computational approach

K Lux, H Pahlings - 2010 - books.google.com
The representation theory of finite groups has seen rapid growth in recent years with the
development of efficient algorithms and computer algebra systems. This is the first book to …

Transitive subgroups of primitive permutation groups

MW Liebeck, CE Praeger, J Saxl - Journal of Algebra, 2000 - Elsevier
We investigate the finite primitive permutation groups G which have a transitive subgroup
containing no nontrivial subnormal subgroup of G. The conclusion is that such primitive …

[HTML][HTML] The Hall–Paige conjecture, and synchronization for affine and diagonal groups

JN Bray, Q Cai, PJ Cameron, P Spiga, H Zhang - Journal of Algebra, 2020 - Elsevier
Abstract The Hall–Paige conjecture asserts that a finite group has a complete mapping if
and only if its Sylow subgroups are not cyclic. The conjecture is now proved, and one aim of …

Maximal subgroups of sporadic groups

RA Wilson - Finite simple groups: thirty years of the Atlas and …, 2017 - books.google.com
A systematic study of maximal subgroups of the sporadic simple groups began in the 1960s.
The work is now almost complete, only a few cases in the Monster remaining outstanding …

Anatomy of the Monster. I

SP Norton - LONDON MATHEMATICAL SOCIETY LECTURE …, 1998 - books.google.com
Anatomy of the Monster. I Page 218 Anatomy of the Monster: I SP Norton Abstract We
summarise much of what is currently known about the subgroup structure of the Fischer-Griess …

[HTML][HTML] Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle

EOR Regueiro - European Journal of Combinatorics, 2005 - Elsevier
Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or
sporadic socle - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

The Maximal Subgroups of the Fischer Groups Fi24 and Fi′24

SA Linton, RA Wilson - Proceedings of the London Mathematical …, 1991 - academic.oup.com
THE MAXIMAL SUBGROUPS OF THE FISCHER GROUPS Fi24 AND F& Page 1 THE
MAXIMAL SUBGROUPS OF THE FISCHER GROUPS Fi24 AND F& STEPHEN A. LINTON and …