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Automorphisms and periods of cubic fourfolds
We classify the symplectic automorphism groups for cubic fourfolds. The main inputs are the global Torelli theorem for cubic fourfolds and the...
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The Distribution of the Number of Automorphisms of Random Trees
We study the size of the automorphism group of two different types of random trees: Galton–Watson trees and rooted Pólya trees. In both cases, we...
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Is the right-angled building associated to a universal group unique?
A universal group is a subgroup of the group of type-preserving automorphisms of a right-angled building and hence associated to this building. A...
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On toroidal circle planes with groups of automorphisms fixing exactly one point
We characterize the family of flat Minkowski planes constructed from strongly hyperbolic functions in terms of their automorphism groups. We also...
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Group Operations
The first section deals with a special class of finite groups which have significance far beyond group theory: groups of permutations. In the two...
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On the Automorphisms of Hyperplane Sections of Generalized Grassmannians
Given a smooth hyperplane section H of a rational homogeneous space G / P with Picard number one, we address the question whether it is always possible...
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Nilpotent groups of automorphisms of families of Riemann surfaces
In this article, we extend results of Zomorrodian to determine upper bounds for the order of a nilpotent group of automorphisms of a complex d -dimensi...
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Group Actions on Algebras and Module Categories
In this chapter we study universal coverings of algebras and their counterpart, smash products. We deal with algorithmic constructions based on the...
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Group Lattices Over Division Rings
K.S.S. Nambooripad introduced group lattice as a lattice together with a group acting on it (Nambooripad in Monash conference on semigroup theory in...
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On Equalities of Central Automorphism Group with Various Automorphism Groups
In this chapter, we intend to present a survey on the equalities of central automorphisms of a group and pose some problems and further research...
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On the automorphisms of Mukai varieties
Mukai varieties are Fano varieties of Picard number one and coindex three. In genus seven to ten they are linear sections of some special homogeneous...
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On a Characterization of Shifts of Haar Distributions on Compact Open Subgroups of a Compact Abelian Group
Let X be a compact Abelian group. In the article we obtain a characterization of shifts of Haar distributions on compact open subgroups of the group X ...
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Cubic Vertex-Transitive Graphs Admitting Automorphisms of Large Order
A connected graph of order n admitting a semiregular automorphism of order n / k is called a k -multicirculant. Highly symmetric multicirculants of...
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Matsushima–Lichnerowicz type theorems of Lie algebra of automorphisms of generalized Kähler manifolds of symplectic type
In Kähler geometry, Fujiki–Donaldson show that the scalar curvature arises as the moment map for Hamiltonian diffeomorphisms. In generalized Kähler...
