Group Theory: Proceedings of a Conference held at Brixen/Bressanone, Italy, May 25–31, 1986

Marco Barlotti (auth.), Otto H. Kegel, Federico Menegazzo, Giovanni Zacher (eds.)0-387-18399-X

Contents: M. Barlotti: Faithful simple modules for the non-abelian group of order pq.- A. Caranti, S. Franciosi, F. de Giovanni: Some examples of infinite groups in which each element commutes with its endomorphic images.- A. Giambruno: Polynomial identities with involution and the hyperoctahedral group.- F. Gross: Automorphisms of induced extensions.- C.K. Gupta, N.D.Gupta, F. Levin: On dimension subgroups relative to certain product ideals.- B. Hartley: Centralizers in locally finite groups.- T. Hawkes: Subgroup embedding properties.- H. Heineken: Soluble irreducible groups of automorphisms of certain groups of class two.- H. Laue: On automorphism groups which normalize an abelian normal subgroup.- F. Leinen, R.E. Phillips: Algebraically closed groups in locally finite group classes.- J.C. Lennox: Soluble groups with nilpotent-extensible subgroups.- P. Longobardi, M.Maj: On the nilpotence of groups with a certain lattice of normal subgroups.- W. Möhres: Torsion-free nilpotent groups with bounded ranks of the abelian subgroups.- G. Pirillo: On permutation properties for semigroups.- D.J.S. Robinson: Vanishing theorems for cohomology of locally nilpotent groups.- R. Schmidt: Untergruppenverbände endlicher auflösbarer Gruppen.- C.M. Scoppola: An example of a nonabelian Frobenius-Wielandt complement.- S.E. Stonehewer: Subnormal subgroups of factorised groups.- J.S. Wilson: An embedding condition for subgroups of infinite groups. At the International Group Theory Conference in Bressanone recent trends and results in different areas of group theory were presented and discussed. These proceedings contain some survey articles and a number of research papers touching on a wide range of topics including permutation groups, automorphisms, presentations, products of subgroups, locally finite groups, soluble groups and related problems, with some emphasis on infinite groups.

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Table of contents :
Faithful simple modules for the non-abelian group of order pq….Pages 1-8
Some examples of infinite groups in which each element commutes with its endomorphic images….Pages 9-17
Polynomial identities with involution and the hyperoctahedral group….Pages 18-25
Automorphisms of induced extensions….Pages 26-30
On dimension subgroups relative to certain product ideals….Pages 31-35
Centralizers in locally finite groups….Pages 36-51
Subgroup embedding properties….Pages 52-64
Soluble irreducible groups of automorphisms of certain groups of class two….Pages 65-72
On automorphism groups which normalize an abelian normal subgroup….Pages 73-84
Algebraically closed groups in locally finite group classes….Pages 85-102
Soluble groups with nilpotent-extensible subgroups….Pages 103-106
On the nilpotence of groups with a certain lattice of normal subgroups….Pages 107-114
Torsion-free nilpotent groups with bounded ranks of the abelian subgroups….Pages 115-117
On permutation properties for semigroups….Pages 118-119
Vanishing theorems for cohomology of locally nilpotent groups….Pages 120-129
Untergruppenverbände endlicher auflösbarer Gruppen….Pages 130-150
An example of a nonabelian Frobenius-Wielandt complement….Pages 151-157
Subnormal subgroups of factorised groups….Pages 158-175
An embedding condition for subgroups of infinite groups….Pages 176-179