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Projective Representations, Abelian F-Groups, and Central Extensions

โœ Scribed by E.C. Hwang

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
578 KB
Volume
160
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

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Let G be a finite elementary abelian p-group. Given a 2-cocycle โฃ of G over the field of complex numbers, we show how to construct an irreducible projective representation of G with 2-cocycle in the cohomology class of โฃ. Let S be a 2 ## ลฝ . subgroup of G of index dividing p . Then we also count

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lGl=p", where n=n,+n,+. , . + n r 2 ) like 1) with apnn=b,, instead of apnn=l. Proof. Let G be a group of order p" with an elementary abelian normal subgroup B for which GIB is cyclic of order p"". Further let aB be a generating element of GIB. Then upnn B. The group (a) suffers from B a representat