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Elementary abelian group

On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups

On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups

... is group theory ...of elementary abelian group (elementary abelian p-group) of the form Z p × Z p and quaternion groups of the form Q 4 p had not been computed ...

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The Dade group of a metacyclic $p$ group

The Dade group of a metacyclic $p$ group

... all elementary abelian groups of rank 1 or 2 and also all extraspecial groups of exponent ...the elementary abelian groups of rank 1 or 2, we will discuss here the case of p-metacyclic groups ...

9

Groups whose locally maximal product free sets are complete

Groups whose locally maximal product free sets are complete

... the elementary abelian group of order 2 n correspond to complete caps in the projective space P G(n − 1, 2); that is, collections of points, maximal by inclusion, with no three ...filled group ...

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Abelian group in a topos of sheaves: torsion and essential extensions

Abelian group in a topos of sheaves: torsion and essential extensions

... in the category AbShL of Abellan groups in a topos of sheaves on a We show that every torsion group is a direct sum of its p-prlmary components and for a torsion group A, the group [A,B][r] ...

10

On central endomorphisms of a group

On central endomorphisms of a group

... It is well known that a central endomorphism of a group G fixes each element of the commutator subgroup G ′ of G. The next lemma shows that a similar result holds for Γ-central endomorphisms. Lemma 2.4. Let α be a ...

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Characteristic Subgroups of a finite Abelian Group Z_n×Z_n

Characteristic Subgroups of a finite Abelian Group Z_n×Z_n

... use of theorem 3, we conclude that K is a characteristic subgroup of × . By use of theorem 3.1, K is not a characteristic subgroup of × , which contraction with fact that there exist a characteristic subgroup H from ...

5

The Dade group of a fusion system

The Dade group of a fusion system

... is abelian, which in turn is used to show the existence of a stable equivalence of Morita type between the block and its Brauer correspondent under the assumption that the inertial quotient acts freely on the non ...

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Generalizations of Morphic Group Rings

Generalizations of Morphic Group Rings

... finite p-group, RG is a local ring by Nicholson theorem [9]. Because RG is left Artinian, the Jacobson radical J(RG) is nilpotent. Since RG is left G-morphic, RG is left special by Huang and Chen [5, Theorem 2.8]. ...

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An extension of Helson Edwards theorem to Banach Modules

An extension of Helson Edwards theorem to Banach Modules

... Edwards theorem for the group algebra of a locally compact Abelian group see Rudin.. Note first that.[r] ...

6

Pseudo-Free  Families  of  Finite  Computational  Elementary  Abelian $p$-Groups

Pseudo-Free Families of Finite Computational Elementary Abelian $p$-Groups

... In this section, we suggest some problems concerning families of computational elementary abelian p- groups for further research. Note that similar problems for some other objects were already posed. For ...

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On a Metric on Translation Invariant Spaces

On a Metric on Translation Invariant Spaces

... abelian groups in [9, 10] by the second and the third authors (see also [6]). Translation invariant spaces in the setting of locally compact abelian groups are studied in [4, 2]. Introducing a metric on the ...

7

The indecomposability of a certain bimodule given by the Brauer construction

The indecomposability of a certain bimodule given by the Brauer construction

... Given a finite group G, a block of OG is a primitive idempotent in Z (OG). We denote by ∆G the diagonal subgroup ∆G = {(g, g) | g ∈ G} of G × G. Unless stated otherwise, modules are left modules. If G and H are ...

6

Symmetric Presentations and Generation

Symmetric Presentations and Generation

... generators. This will give us finite homomorphic images of the infinite group m ∗ n : N . It takes immense effort to find suitable relations to factor the progenitor by. Through the course of our research, we have ...

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Some remarks on regular subgroups of the affine group

Some remarks on regular subgroups of the affine group

... Let T be a regular subgroup of AGL n ( F ). When F is finite, T is a p-group, hence it is unipotent. In Section 3 we show that T is unipotent whenever either T is abelian or p > 0. On the other hand, ...

7

On soluble groups whose subnormal subgroups are inert

On soluble groups whose subnormal subgroups are inert

... A group all of whose subgroups are inert is called inertial in [11] where, in the context of gen- eralized soluble groups (with some finiteness conditions), a characterization of inertial groups was ...

8

Abelian group factorization from perfect codes

Abelian group factorization from perfect codes

... group factorization of certain groups. The corresponding subsets in the factorization is given by the codewords in the code and the codewords in the Hamming sphere of radius t centered at the zero codeword. We ...

9

The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group

The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group

... almost-crystallographic group acts properly discontinuously on (the correspond- ing) G and the orbit space E \ G is ...a group E on a locally compact space X is said to be properly discontinuous, if for ...

12

Generalized continuous wavelet transform on locally compact abelian group

Generalized continuous wavelet transform on locally compact abelian group

... LCA group G is called a character of G if  ( ) x = 1 for all x  G and if the functional equation  ( x + y ) =  ( ) ( ) x  y for all ( ) x y ,  G is satisfied ...a group  , the dual group of G ...

10

A gap theorem for the ZL amenability constant of a finite group

A gap theorem for the ZL amenability constant of a finite group

... JNA group with non-trivial centre, then {e} ( [G, G] ⊆ Z(G), so that G is 2-step ...JM group is necessarily of the form F o D for some finite field F and some subgroup D ≤ F × ...

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Automorphisms fixing subnormal subgroups of certain infinite soluble groups

Automorphisms fixing subnormal subgroups of certain infinite soluble groups

... ABELIAN-BY-NILPOTENT GROUPS Recall from Chapter 5 our main result Theorem E, that if G is a finitely generated infinite metabelian group, then the group Autsn G is a finite Abelian group[r] ...

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