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On automorphisms of finite abelian p-groups
(VERSITA, 2008)
Let A be a finitely generated abelian group. We describe the automorphism group Aut(A) using the rank of A and its torsion part p-part A(p). For a finite abelian p-group A of type (k(1),..., k(n)), simple necessary and ...
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II: Unipotent classes in symplectic groups
(World Scientific, 2016-08)
We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infinite dimension. We give a criterion to deal ...
Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV: Unipotent Classes in Chevalley and Steinberg Groups
(Springer, 2020-06-14)
We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSLn(q) and PSp2n(q), collapse (i.e. are never the support of a finite-dimensional Nichols algebra), with a possible exception ...
Finiteness conditions and PDr-group covers of PDn-complexes
(SpringerNew YorkEUA, 2007)
Centralisers of finite subgroups in soluble groups of type FPn
(Walter De Gruyter & CoBerlinAlemanha, 2011)
Homological invariants for pro-p groups and some finitely presented pro-l groups
(Springer WienWienAustria, 2005)