Finite group
Lattice of Finite Group Actions on Prism Manifolds
... of finite group actions (up to equivalence) which operate on a prism manifold M, preserve a Heegaard Klein bottle and have a fixed orbifold quotient type, form a partially ordered ...
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A gap theorem for the ZL amenability constant of a finite group
... The style of this paper is intended to be somewhat expository. The aim, both here and in the earlier paper [1], has been to make the proofs accessible to researchers in abstract harmonic analysis who are interested in ...
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A note on the power graph of a finite group
... All groups and graphs in this paper are assumed to be finite. Suppose G is a finite group. The power graph P (G) is a graph in which V ( P (G)) = G and two distinct elements x and y are adjacent if ...
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PART III FINITE GROUP ACTIONS ON HOMOLOGY 3-SPHERES
... smooth group actions with one fixed point have been studied extensively over the past two decades, both as test cases for the sorts of exotic smooth group actions that can exist on spheres and in connection ...
11
CONSTRUCTION OF FINITE GROUP
... a finite group G is defined by φ : G −−−−→ Homo GL(n; F ), where GL(n; F ) is a group of n × n invertible matrices over a finite field F ...
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On the \(\cal F\) -hypercentre of a finite group
... L.A. Shemetkov asked in 1995 at the Gomel Algebraic seminar the following question (the formulation of this question was also given in [24, p. 41]): What are the non-empty hereditary saturated formations F with the ...
13
The embedding of a cyclic permutable subgroup in a finite group II
... Proof of Theorem 1.3. We have a cyclic permutable subgroup A = a of a finite 2-group G and B = [A, G, A]. By Theorem 1.2 (ii), each cyclic subgroup of B has the form [u, a] = K, say, for some element u in [A, G]. ...
10
Orbifolds and finite group representations
... finite group representation ...abelian group A r (n) for A-type hypersurface quotient singularity of dimension n is ...of group orbits and crepant resolutions of A r (4)-singularity are ...
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On subgroups which cover or avoid chief factors of a finite group
... a group influences in its ...a group 𝐺 is said to be 𝑝-supersoluble if chief factor of 𝐺 is cyclic of order 𝑝 or a 𝑝 ′ ...The group 𝐺 is supersoluble if it is 𝑝-supersoluble for all ...
11
On Semiabelian Groups
... erated group, its periodic part t(G) is also finitely generated (see, ...factor group G/t(G) is also finitely generated, and therefore by Lemmas 1 and 2 it is ...semiabelian finite group is ...
6
Automorphisms of a finite $p$-group with cyclic Frattini subgroup
... A group G of order p m is said to be of maximal class if m > 2 and the nilpotency class of G is m − ...a group G is called a central product of its subgroups A and B if A and B commute elementwise and ...
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Serial group rings of finite groups. \(p\)-solvability
... a finite group of order divisible by p. The group ring R = F G is artinian, therefore the seriality criterion (Fact 2) is applicable to ...has finite representation ...
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Conjugacy in finite state wreath powers of finite permutation groups
... a finite set of cardinality m > 2. Consider a finite group G acting faithfully on the set ...permutation group (G, A) is a subgroup of the symmetric group ...a group element g ...
12
On central endomorphisms of a group
... The aim of this short article is to investigate the conditions under which a Γ-central endomorphism of a group is an automorphism. Recall that Adney and Yen [1] proved that a necessary and sufficient condition for a ...
5
Group Representations, Nilpotent Algebras and Finite Algebra Groups
... of finite group representations and nilpotent ...to finite algebra groups by exploring the relationship that exists between these groups and the Jacobson Radical of algebras over finite ...
50
Finite groups with the same conjugacy class sizes as a finite simple group
... a finite group H , let cs(H) denote the set of non-trivial conjugacy class sizes of H and OC(H) be the set of the order components of H ...a finite simple group with the disconnected prime ...
11
Recurrent points and discrete points for elementary amenable groups
... Moreover, every periodic group in EG is locally finite, and since it is known that every infinite locally finite group contains an infinite abelian subgroup.. is an infinite group in.[r] ...
8
Groups with the same orders of Sylow normalizers as the Mathieu groups
... alternating group, a finite projective special linear group, a Janko sporadic simple group, or a finite projective special symplectic group, then G is charac- terizable by the ...
5
Primitive central idempotents of certain finite semisimple group algebras
... a finite field with q elements and G be a finite group of order coprime to q, so that the group algebra 𝔽 𝑞 [𝐺] is ...of group algebras is to find a complete set of primitive central ...
12
Uniform finite generation of the orthogonal group and applications to control theory
... The complete so lu tio n o f th is problem has been found by LowenthaT and by Koch and Lowenthal but on ly fo r two and three- dimensional Lie groups; [ 8 ], [9 ], [1 0 ], [1 3], [1 4 ], [15], [1 6]. In p a rt ic u la r, ...
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