On generalized homology of Artin groups.
On generation of sporadic simple groups by three involutions, two of which commute.
On genus and embeddings of torsion-free nilpotent groups of class two.
On Geometric Embedding Problems and Semiabelian Groups.
On group automorphisms fixing subnormal subgroups setwise
In questo lavoro si studiano i gruppi , , degli automorfismi di un gruppo che fissano — come insiemi — tutti i sottogruppi di che risultano essere rispettivamente subnormali, subnormali di difetto al più , oppure che sono compresi tra un sottogruppo caratteristico ed il suo derivato. Si danno condizioni sufficienti affinché tali gruppi siano parasolubili di para-altezza al più 2 o 3. Si generalizzano così risultati da [4], [7], [8], [10].
On group operations in groups of exponent k
On groups in which idempotent reducts form a chain
On groups of automorphisms of nilpotent -groups of finite rank
On groups of plolynomial subgroup growth.
On Groups whose Contranormal Subgroups are Normally Complemented
2000 Mathematics Subject Classification: 20F16, 20E15.Groups in which every contranormal subgroup is normally complemented has been considered. The description of such groups G with the condition Max-n and such groups having an abelian nilpotent residual satisfying Min-G have been obtained.
On groups with linear sci growth
We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci.
On groups with property
On groups with root system of type .
On Gupta Representations of Central Extensions.
On half lattice ordered groups
On homomorphic images of locally graded groups
On hypercentral groups
Let G be a hypercentral group. Our main result here is that if G/G’ is divisible by finite then G itself is divisible by finite. This extends a recent result of Heng, Duan and Chen [2], who prove in a slightly weaker form the special case where G is also a p-group. If G is torsion-free, then G is actually divisible.
On hypercentral subgroups of infinite groups
On induced morphism of Mislin genera.
Let N be a nilpotent group with torsion subgroup TN, and let α: TN → T' be a surjective homomorphism such that kerα is normal in N. Then α determines a nilpotent group Ñ such that TÑ = T' and a function α* from the Mislin genus of N to that of Ñ in N (and hence Ñ) is finitely generated. The association α → α* satisfies the usual functiorial conditions. Moreover [N,N] is finite if and only if [Ñ,Ñ] is finite and α* is then a homomorphism of abelian groups. If Ñ belongs to the special class studied...
On inert subgroups of a group