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ISCHIA GROUP THEORY 2008
Proceedings of the Conference

Naples, Italy, 1 - 4 April 2008


CONTENTS

FRONT MATTER
i
On abnormal maximal subgroups of finite groups
A. BALLESTER-BOLINCHES, JOHN COSSEY and R. ESTEBAN-ROMERO
1
Finite Gelfand pairs: examples and applications
TULLIO CECCHERINI-SILBERSTEIN, DANIELE D'ANGELI, ALFREDO DONNO, FABIO SCARABOTTI and FILIPPO TOLLI
7
On Blichfeldt's like congruences and other close characters - conjugacy classes analogs
DAVID CHILLAG
42
Permutation groups defined by unordered relations
FRANCESCA DALLA VOLTA and JOHANNES SIEMONS
56
Transitivity of properties of 2-generator subgroups
COSTANTINO DELIZIA, PRIMOŽ MORAVEC and CHIARA NICOTERA
68
Some simple locally (soluble-by-finite) groups
MARTYN R. DIXON, MARTIN J. EVANS and HOWARD SMITH
79
The fundamental group of a connected undirected profinite graph
W. HERFORT
90
On a graph associated with a group
DIANA IMPERATORE
100
Some exceptional minimal situations by finite p-groups
Z. JANKO
116
Regular limits of infinite symmetric groups
OTTO H. KEGEL
120
Large normal and characteristic subgroups satisfying outer commutator identities and their applications
E. I. KHUKHRO
131
Soluble linear groups with some restrictions on subgroups of infinite central dimension
L.A. KURDACHENKO, J.M. MUÑOZ-ESCOLANO and J. OTAL
156
Character tables of groups where all nonlinear irreducible characters vanish off the center
MARK L. LEWIS
174
Some results and questions related to the generating graph of a finite group
ANDREA LUCCHINI and ATTILA MARÓTI
183
On the minimal irreducibility of the unipotent characters of the finite unitary groups
MARCO ANTONIO PELLEGRINI
209
A note on relative isoclinism classes of compact groups
R. REZAEI and F. RUSSO
233
Restrictions of Brauer characters and π-partial characters
JOSU SANGRONIZ
236
Real characters and degrees: an overview
LUCIA SANUS
243
Varieties of groups and the restricted Burnside problem
PAVEL SHUMYATSKY and JHONE CALDEIRA SILVA
248
The (2, 3)-generation of matrix groups over the integers
M. C. TAMBURINI
258
p-Projective groups and pro-p trees
THOMAS WEIGEL
265
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