scholarly journals Source Algebras of p-Central Group Extensions

2001 ◽  
Vol 235 (1) ◽  
pp. 359-398 ◽  
Author(s):  
Lluis Puig
Keyword(s):  
Central Group ◽  
Group Extensions

scholarly journals A note on central group extensions

1973 ◽  
Vol 15 (4) ◽  
pp. 428-429 ◽  
Author(s):  
G. J. Hauptfleisch
Keyword(s):  
Abelian Group ◽  
Homomorphic Image ◽  
Free Group ◽  
Central Extension ◽  
Dihedral Group ◽  
Group Extension ◽  
Central Group ◽  
Group Extensions

If A, B, H, K are abelian group and φ: A → H and ψ: B → K are epimorphisms, then a given central group extension G of H by K is not necessarily a homomorphic image of a group extension of A by B. Take for instance A = Z(2), B = Z ⊕ Z, H = Z(2), K = V4 (Klein's fourgroup). Then the dihedral group D8 is a central extension of H by K but it is not a homomorphic image of Z ⊕ Z ⊕ Z(2), the only group extension of A by the free group B.

On the homology theory of central group extensions: I—The commutator map and stem extensions

1972 ◽  
Vol 47 (1) ◽  
pp. 102-122 ◽  
Author(s):  
Beno Eckmann ◽  
Peter J. Hilton ◽  
Urs Stammbach
Keyword(s):  
Homology Theory ◽  
Central Group ◽  
Group Extensions

scholarly journals A note on group extensions

1974 ◽  
Vol 18 (4) ◽  
pp. 509-510 ◽  
Author(s):  
L. R. Vermani
Keyword(s):  
Homomorphic Image ◽  
Present Note ◽  
Abelian Groups ◽  
Group Extension ◽  
Central Group ◽  
Group Extensions ◽  
Central Loop

In [2] Hauptfleisch proved that if A, B, H, K are Abelian groups, φ:A → H and ψ:B → K are epimorphisms, then every central group extension G of H by K is homomorphic image of a central loop extension L of A by B. The aim of the present note is to prove (using almost the same argument as in [2])

Mappings into loop spaces and central group extensions

1972 ◽  
Vol 128 (4) ◽  
pp. 277-296 ◽  
Author(s):  
Lawrence L. Larmore ◽  
Emery Thomas
Keyword(s):  
Loop Spaces ◽  
Central Group ◽  
Group Extensions

On the splitting of groups of central group extensions

1969 ◽  
Vol 6 (2) ◽  
pp. 575-576
Author(s):  
A. I. Moskalenko
Keyword(s):  
Central Group ◽  
Group Extensions

scholarly journals On group algebras of central group extensions

1975 ◽  
Vol 56 (1) ◽  
pp. 59-75 ◽  
Author(s):  
C. Edwards ◽  
Peter Stacey
Keyword(s):  
Group Algebras ◽  
Central Group ◽  
Group Extensions
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