Proceedings of the Second International Conference on the Theory of Groups [electronic resource] : Australian National University, August 13–24, 1973 / edited by M. F. Newman.

Contributor(s): Newman, M. F [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 372Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1974Description: X, 746 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783662215715Subject(s): Mathematics | Algebra | Mathematics | AlgebraAdditional physical formats: Printed edition:: No titleDDC classification: 512 LOC classification: QA150-272Online resources: Click here to access online
Contents:
Periodic groups of odd exponent -- Einbettungseigenschaften von Normalteilern: Der Schluss vom Endlichen aufs Unendliche -- Characterisation of the groups with the Gaschütz cohomology property -- Finitely presented metabelian groups -- Some problems on one-relator groups -- Computation in nilpotent groups (application) -- Between logic and group theory -- On the structure of blocks of characters of finite groups -- Transitivity-systems of certain one-relator groups -- Characteristic subgroups of free groups -- Metabelian varieties of groups -- Subdirect product closed fitting classes -- On the rank of the intersection of subgroups of a fuchsian group -- Subgroups of binary relations -- The 2-adic representations of Klein's four group -- A general purpose group theory program -- On the modular representations of the general linear and symmetric groups -- Words which give rise to another group operation for a given group -- Classes of finite soluble groups -- A note on blocks -- The subgroup theorem for amalgamated free products, HNN-constructions and colimits -- Linear representations over principal ideal domains -- A property common to the Weyl and orthogonal groups -- Primitive extensions of maximal diameter of multiply transitive permutation groups -- Some characters of orthogonal groups over the field of two elements -- Type sets and admissible multiplications -- Power series and matrix representations of certain relatively free groups -- The nilpotency class of finitely generated groups of exponent four -- Hypocritical and sincere groups -- Sylow subgroups of locally finite groups -- A reidemeister-schreier program -- Non-nilpotent groups with normalizer condition -- The influence of 2-sylow intersections on the structure of finite simple groups -- Rank four configurations -- Some nonsimplicity criteria for finite groups -- Free subgroups of free topological groups -- Some questions in the theory of soluble groups -- Locally finite simple groups -- Normal subgroups of groups of prime-power order -- Some related questions in the theory of groups and lie algebras -- Hanna Neumann's problems on varieties of groups -- Finite projective planes and sharply 2-transitive subsets of finite groups -- Non Euclidean crystallographic groups -- On subnormality in soluble minimax groups -- Varieties generated by finite algebras -- Computing with finite simple groups -- Compact torsion groups -- Braid groups: A survey -- Two-bridge knots have residually finite groups -- Periodic automorphisms of the two-generator free group -- On groups of exponent four: A criterion for nonsolvability -- The topology of free products of topological groups -- Some groups I have known -- Transitive permutation groups of prime degree -- Ideals in the centre of a group ring -- A non-distributive metabelian variety lattice -- Polynomial maps -- Über Erzeugende Ebener Diskontinuierlicher Gruppen -- Contribution to the theory of abstract groups -- Sylow subgroups of finite permutation groups -- On the Nielsen equivalence of pairs of generators in certain HNN groups -- The collineation groups of finite generalized hall planes -- Abelian groups with self-injective endomorphism rings -- Lattice isomorphisms and saturated formations of finite soluble groups -- Some reflections on HNN extensions -- Amalgames et points fixes -- Geometric characterizations in finite group theory -- Torsion-free metabelian groups with infinite cyclic quotient groups -- On the lie ring of a group of prime exponent -- Computation in nilpotent groups (theory) -- On groups admitting an elementary Abelian automorphism group -- Varieties described by verbal subgroups -- A relation in free products -- A note on subsoluble groups -- On generalized soluble groups -- Finite groups with sylow 2-subgroups of type the alternating group of degree sixteen -- Problem section.
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Periodic groups of odd exponent -- Einbettungseigenschaften von Normalteilern: Der Schluss vom Endlichen aufs Unendliche -- Characterisation of the groups with the Gaschütz cohomology property -- Finitely presented metabelian groups -- Some problems on one-relator groups -- Computation in nilpotent groups (application) -- Between logic and group theory -- On the structure of blocks of characters of finite groups -- Transitivity-systems of certain one-relator groups -- Characteristic subgroups of free groups -- Metabelian varieties of groups -- Subdirect product closed fitting classes -- On the rank of the intersection of subgroups of a fuchsian group -- Subgroups of binary relations -- The 2-adic representations of Klein's four group -- A general purpose group theory program -- On the modular representations of the general linear and symmetric groups -- Words which give rise to another group operation for a given group -- Classes of finite soluble groups -- A note on blocks -- The subgroup theorem for amalgamated free products, HNN-constructions and colimits -- Linear representations over principal ideal domains -- A property common to the Weyl and orthogonal groups -- Primitive extensions of maximal diameter of multiply transitive permutation groups -- Some characters of orthogonal groups over the field of two elements -- Type sets and admissible multiplications -- Power series and matrix representations of certain relatively free groups -- The nilpotency class of finitely generated groups of exponent four -- Hypocritical and sincere groups -- Sylow subgroups of locally finite groups -- A reidemeister-schreier program -- Non-nilpotent groups with normalizer condition -- The influence of 2-sylow intersections on the structure of finite simple groups -- Rank four configurations -- Some nonsimplicity criteria for finite groups -- Free subgroups of free topological groups -- Some questions in the theory of soluble groups -- Locally finite simple groups -- Normal subgroups of groups of prime-power order -- Some related questions in the theory of groups and lie algebras -- Hanna Neumann's problems on varieties of groups -- Finite projective planes and sharply 2-transitive subsets of finite groups -- Non Euclidean crystallographic groups -- On subnormality in soluble minimax groups -- Varieties generated by finite algebras -- Computing with finite simple groups -- Compact torsion groups -- Braid groups: A survey -- Two-bridge knots have residually finite groups -- Periodic automorphisms of the two-generator free group -- On groups of exponent four: A criterion for nonsolvability -- The topology of free products of topological groups -- Some groups I have known -- Transitive permutation groups of prime degree -- Ideals in the centre of a group ring -- A non-distributive metabelian variety lattice -- Polynomial maps -- Über Erzeugende Ebener Diskontinuierlicher Gruppen -- Contribution to the theory of abstract groups -- Sylow subgroups of finite permutation groups -- On the Nielsen equivalence of pairs of generators in certain HNN groups -- The collineation groups of finite generalized hall planes -- Abelian groups with self-injective endomorphism rings -- Lattice isomorphisms and saturated formations of finite soluble groups -- Some reflections on HNN extensions -- Amalgames et points fixes -- Geometric characterizations in finite group theory -- Torsion-free metabelian groups with infinite cyclic quotient groups -- On the lie ring of a group of prime exponent -- Computation in nilpotent groups (theory) -- On groups admitting an elementary Abelian automorphism group -- Varieties described by verbal subgroups -- A relation in free products -- A note on subsoluble groups -- On generalized soluble groups -- Finite groups with sylow 2-subgroups of type the alternating group of degree sixteen -- Problem section.

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