Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley +1 more source
Finite p-groups with a Frobenius group of automorphisms whose kernel is a cyclic p-group
Suppose that a finite p-group G admits a Frobenius group of automorphismsFH with kernel F that is a cyclic p-group and with complement H. It is provedthat if the fixed-point subgroup CG(H) of the complement is nilpotent of class c,then G has a ...
Evgeny Khukhro (17161393) +1 more
core +4 more sources
Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence
Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley +1 more source
The embedding of a cyclic permutable subgroup in a finite group. II [PDF]
In two previous papers we established the structure of the normal closure of a cyclic permutable subgroup $A$ of a finite group, first when $A$ has odd order and second when $A$ has even order, but with an extra hypothesis that was unnecessary in the odd
Cossey, Peter (John) +3 more
core +1 more source
Fixed points of finite groups acting on generalised Thompson groups
We study centralisers of finite order automorphisms of the generalised Thompson groups Fn, ? and conjugacy classes of finite sub- groups in finite extensions of Fn, ?. In particular we show that centralisers of finite automorphisms in Fn, ? are either of
Nucinkis, B.E.A. +2 more
core +1 more source
Representations of the space of n-theta functions [PDF]
Let X be a smooth complex projective curve with group of automorphisms G. In this thesis we apply the Holomorphic Lefschetz Theorem in certain cases to compute the decomposition of the space H (J(_x),O(_n)O)) into a sum of irreducible representations of ...
MejiÌa, Israel Moreno +1 more
core
ON THE GROUPS OF THE INFINITELY GENERATED FREE ABELIAN GROUPS AUTOMORPHISMS
Let A be an infinitely generated free abelian group. The paper shows that all automorphisms of the group Aut(A) are inner.
V. A. Tolstykh
doaj
Various Bounds of Group of Autocentral Automorphisms [PDF]
In this paper, we find various bounds for the group of all autocentral automorphisms of a finite group $G$. We consider the cases, where the group of all autocentral automorphisms coincides with its upper bound, that is, the group of all central ...
Arora, Harsha
core
Groups Of Automorphisms Of Hyperelliptic Klein Surfaces Of Genus 3
The order of a group of automorphisms of a compact Klein surface of genus 3 with boundary does not exceed 24 [see C. L. May, Pac. J. Math. 59, 199-210 (1975; Zbl 0422.30037)]. These groups of automorphisms are quotients of NEC groups of isometries of the
Bujalance García, Emilio +2 more
core +1 more source
Properties of triple error orbits G and their invariants in Bose – Chaudhuri – Hocquenghem codes C7
This work is the further development of the theory of norms of syndromes: the theory of polynomial invariants of G-orbits of errors expands with the group G of automorphisms of binary cyclic BCH codes obtained by joining the degrees of cyclotomic ...
V. A. Lipnitski, A. U. Serada
doaj +1 more source

