Converse of a Theorem of Mal'cev on Nilpotent Groups.
Conway's Group CO3 and the Dickson Invariants.
Correction to "Locally Trivial Outer Automorphisms of Finite Groups."
Correction to the paper “Generators of an orthogonal group over a finite field”
Coset enumeration of groups generated by symmetric sets of involutions.
Costas para los caracteres de los grupos de Chevalley
Counting -groups and nilpotent groups
Counting with groups and rings.
Covering theorems for finite non-abelian simple groups, I
Covering theorems for finite nonabelian simple groups. III. - Solutions of the equation in a finite field
Crossed product of cyclic groups
All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.
Cyclic and dihedral constructions of even order
Let and be two groups of finite order , and suppose that they share a normal subgroup such that if or . Cases when is cyclic or dihedral and when for exactly pairs have been shown to be of crucial importance when studying pairs of 2-groups with the latter property. In such cases one can describe two general constructions how to get all possible from a given . The constructions, denoted by and , respectively, depend on a coset (or two cosets and ) modulo , and on an...
Cyclic quasinormal subgroups of arbitrary groups
(p ≥ 5) can be characterized by its order components
Let G be a finite group, and (p ≥ 3). It is proved that G ≅ M if G and M have the same order components.
Das Bild des Hurewicz-Homomorphismus h: ...s*(BZp) ->K1(BZp).
Defektschranken gewisser Subnormalteiler.
Deformation theory and finite simple quotients of triangle groups I
Let with and let be the corresponding hyperbolic triangle group. Many papers have been dedicated to the following question: what are the finite (simple) groups which appear as quotients of ? (Classically, for and more recently also for general .) These papers have used either explicit constructive methods or probabilistic ones. The goal of this paper is to present a new approach based on the theory of representation varieties (via deformation theory). As a corollary we essentially prove...
Degree 1 and 2 representations of nilpotent groups and applications to units of group rings.
Degree problems of representation theory over arbitrary fields of characteristic 0. On theorems of N. Ito and J. G: Thompson.
Degree problems of representation theory over arbitrary fields of characteristic 0. Part 2: Groups which have only two reduces degrees.