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Exact projective representations of Abelian groups


Exact projective representations of Abelian groups - SpringerLink

A complete description of the finite Abelian groups having exact irreducible projective representations over a field F comprising a finite extension of the ...

Projective Representations of Abelian Groups - ScienceDirect.com

Let G be a finite elementary abelian p-group. Given a 2-cocycle α of G over the field of complex numbers, we show how to construct an irreducible projective ...

Exact projective representations of Abelian groups

In the present article we describe the finite Abelian groups admitting exact irreducible projective representations over a field F, where F is a finite ...

Exact projective representations of Abelian groups | Semantic Scholar

A complete description of the finite Abelian groups having exact irreducible projective representations over a field F comprising a finite extension of the ...

Projective Representations of Abelian Groups - CORE

w x irreducible projective representation of G with 2-cocycle ␤ g ␣ . In Section 3 we consider an elementary abelian p-group G. We start by. w x recalling some ...

Projective Representations of Abelian Groups - ScienceDirect.com

w x irreducible projective representation of G with 2-cocycle ␤ g ␣ . In Section 3 we consider an elementary abelian p-group G. We start by. w x recalling some ...

Exact projective representations of Abelian groups - R Discovery

Article on Exact projective representations of Abelian groups, published in Mathematical Notes of the Academy of Sciences of the USSR 10 on 1971-09-01 by ...

(PDF) Projective Representations of Abelian Groups - ResearchGate

Let ω be a factor system for the locally compact abelian group G. Then we show that the finite-dimensional unitary irreducible projective ...

Projective Representations of Abelian Groups - ResearchGate

Download Citation | Projective Representations of Abelian Groups | Let G be a finite elementary abelian p-group. Given a 2-cocycle alpha of G over the field ...

Projective Representations of Abelian Groups | Semantic Scholar

Abstract Let G be a finite elementary abelian p -group. Given a 2-cocycle α of G over the field of complex numbers, we show how to construct ...

Introductory expositions on projective representations of groups

1 −→ Z = {E,J} −→ Tn −→ Sn −→ 1 (exact), with the canonical ... Morris, Projective representations of abelian groups, J. London Math. Soc ...

Projective representations of groups - Alistair Savage

Since f : N ر Impfq is an isomorphism, we have that N must be an abelian group. Definition 3.1.6 (Morphism of exact sequences). A morphism of exact sequences is ...

Abelian categories and exact sequences | Algebraic K-Theory Class ...

Abelian categories and exact sequences form the backbone of homological algebra. They provide a framework for studying algebraic structures, ...

Projective Representations of Abelian Groups | CoLab

Let G be a finite elementary abelian p -group. Given a 2-cocycle α of G over the field of complex numbers, we show how to construct an irreducible ...

Enough Projectives in Category of Groups - Math Stack Exchange

Free groups are projective in the category of groups (the exact same argument works as for modules), and for any group G, you can take the ...

arXiv:1909.06589v2 [math.GR] 23 Dec 2020

We refer the reader to Section 3 for precise definitions and related results regarding projective representations of a group. By definition, ...

"Interesting" examples of exact abelian subcategories of R-Mod

2. Are flat modules interesting? What about Gorenstein projective/injective/flat? · How about cotorsion abelian groups? – Tim Campion. Commented ...

Phase Retrievable Projective Representation Frames for Finite ...

We achieve this by obtaining a new formula for the dimension of irreducible projective representations for finite abelian groups. ... exact and stable signal ...

Review of Projective Representations of Finite Groups

nonabelian groups of order 8 are representation groups for the four-group. In the corresponding exact sequence (3), A is isomorphic to H2(G, K. ×. ). If. K = C ...