Semilinear Automorphisms and Dimension Functions for Certain Characters of Finite Chevalley Groups.
Semi-presentations for the sporadic simple groups.
Semisimple completed group rings.
Separable group-ring extensions.
Separating, Incompressible Surfaces in 3-Manifolds.
Series of nilpotent orbits.
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.
Singular Hecke algebras, Markov traces, and HOMFLY-type invariants
We define the singular Hecke algebra as the quotient of the singular braid monoid algebra by the Hecke relations , . We define the notion of Markov trace in this context, fixing the number of singular points, and we prove that a Markov trace determines an invariant on the links with singular points which satisfies some skein relation. Let denote the set of Markov traces with singular points. This is a -vector space. Our main result is that is of dimension . This result is completed...
SK... for finite group rings: II.
SK1 of finite group rings: V.
Skein algebra of a group
We define for each group G the skein algebra of G. We show how it is related to the Kauffman bracket skein modules. We prove that skein algebras of abelian groups are isomorphic to symmetric subalgebras of corresponding group rings. Moreover, we show that, for any abelian group G, homomorphisms from the skein algebra of G to C correspond exactly to traces of SL(2,C)-representations of G. We also solve, for abelian groups, the conjecture of Bullock on SL(2,C) character varieties of groups - we show...
Skew-representations of a group by transformations on its subgroups
SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions
MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1).
SO3 (...)-representation curves for two-bridge knot groups.
Solvable subgroups of p-solvable semilinear groups.
Some Applications of a Fundamental Theorem by Gluck and Wolf in the Character Theory of Finite Groups.
Some Generalized Characters of Finite Chevalley Groups.
Some Investigations Concerning Kazhdan-Lusztig cells in Finite Coxeter groups of type A_n
Some p-adic Galois Representations for Curves in Characteristic p.
Some problems in number theory that arise from group theory.
In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].