Simple group contain minimal simple groups.
It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.
Simple Groups and Möbius Planes of Even Order.
Simple groups with prescribed local structure
Simple modules over CC-groups and monolithic just non-CC-groups
In questo lavoro studiamo i non CC-gruppi monolitici con tutti i quozienti propri CC-gruppi, che hanno sottogruppi abeliani normali non banali.
Simplicial approximation and low-rank trees.
Simplicity of Neretin's group of spheromorphisms
Denote by , , the regular tree whose vertices have valence , its boundary. Yu. A. Neretin has proposed a group of transformations of , thought of as a combinatorial analogue of the diffeomorphism group of the circle. We show that is generated by two groups: the group of tree automorphisms, and a Higman-Thompson group . We prove the simplicity of and of a family of its subgroups.
Small cancellation theory and automatic groups.
Small cancellation theory and automatic groups: Part II.
Small Cancellation Theory over Free Products with Amalgamation.
Small profinite m-stable groups
A small profinite m-stable group has an open abelian subgroup of finite ℳ-rank and finite exponent.
Sofic groups are not locally embeddable into finite Moufang loops
We shall show that there exist sofic groups which are not locally embeddable into finite Moufang loops. These groups serve as counterexamples to a problem and two conjectures formulated in the paper by M. Vodička, P. Zlatoš (2019).
Soluble Groups with Many Černikov Quotients
Si studiano i gruppi risolubili non di Černikov a quozienti propri di Černikov. Nel caso periodico tali gruppi sono tutti e soli i prodotti semidiretti con -gruppo abeliano elementare infinito e gruppo irriducibile di automorfismi di che sia infinito e di Černikov. Nel caso non periodico invece si riconduce tale studio a quello dei moduli a quozienti...
Soluble products of nilpotent groups
Soluble Products of Polycyclic Groups.
Soluble products of two locally finite groups with min- for every prime
Solvable groups with many BFC-subgroups.
We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.
Solvable R*-groups.
Solvable subgroups of p-solvable semilinear groups.
Some algebraic properties of weakly compact and compact cardinals
Some Amalgams of type 2A6 in a field of characteristic 3