Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]
, 2002 It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
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Cyclotomic Polynomials and Finite Automorphisms of Groups
, 2001 We introduce minimal polynomials for finite automorphisms of commutative groups and relate them to the exponent of the fixed points and to the reducibility of the group.
FALCONE, Giovanni
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Frobenius-like groups as groups of automorphisms [PDF]
, 2014 A finite group F H is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that F H/[F, F] is a Frobenius group with Frobenius kernel F/[F, F].
Khukhro, Evgeny +2 more
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Groups with finitely many conjugacy classes and their automorphisms
, 2009 We combine classical methods of combinatorial group theory with the theory of small cancellation over relatively hyperbolic groups to construct finitely generated torsion-free groups that have only finitely many classes of conjugate elements.
Minasyan, Ashot
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Automorphisms of Types in Certain Type Theories and Representation of Finite Groups [PDF]
, 2018 The notion of automorphism of types is defined, as usual, it is an isomorphism A->A. The groups of automorphisms of types in different type theories are studied.
SERGEI SOLOVIEV, Soloviev, Sergei
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Hereditary conjugacy separability of right angled Artin groups and its applications
, 2012 We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups.
Minasyan, Ashot
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Coleman automorphisms of finite groups with a self-centralizing normal subgroup [PDF]
, 1964 summary:Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown that under some conditions, Coleman automorphisms of $G$ are inner.
Hai, Jinke, Donald B. Coleman
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ABELIAN GROUPS WITHOUT TORSION WITH FINITE GROUPS OF AUTOMORPHISMS
, 1995 Abelian groups without torsion of a finite rank and their groups of automorphisms are investigated in the paper aiming at the construction of the structural theory of quasi-decomposition abelian groups without torsion of a finite rank with finite groups ...
Kozhukhov, Sergey Fedorovich
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COLEMAN AUTOMORPHISMS OF FINITE GROUPS WITH SEMIDIHEDRAL SYLOW 2-SUBGROUPS [PDF]
We study some families of finite groups having inner class-preserving automorphisms. In particular, let G be a finite group and S be a semidihedral Sylow 2-subgroup. Then, in both cases when either Sym(4) is not a homomorphic image of G and Z(S) < Z(G)
Riccardo Aragona
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Automorphisms of Finite Linear Groups
, 1960 By the methods used heretofore for the determination of the automorphisms of certain families of linear groups, for example, the (projective) unimodular, orthogonal, symplectic, and unitary groups (7, 8), it has been necessary to consider the various ...
Robert Steinberg
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