finite semifield
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PRIMITIVITY OF FINITE SEMIFIELDS WITH 64 AND 81 ELEMENTS

2007 ◽  
Vol 17 (07) ◽  
pp. 1411-1429 ◽  
Author(s):  
I. R. HENTZEL ◽  
I. F. RÚA
Keyword(s):  
Nonassociative Ring ◽  
Finite Semifield ◽  
Finite Semifields

A finite semifield D is a finite nonassociative ring with identity such that the set D* = D \{0} is a loop under the product. Wene conjectured in [1] that any finite semifield is either right or left primitive, i.e. D* is the set of right (or left) principal powers of an element in D. In this paper we study the primitivity of finite semifields with 64 and 81 elements.

Nuclear fusion in finite semifield planes

2004 ◽  
Vol 4 (4) ◽  
Author(s):  
Vikram Jha ◽  
Norman L. Johnson
Keyword(s):  
Nuclear Fusion ◽  
Finite Semifield ◽  
Semifield Planes

A note on finite semifield planes that admit affine homologies

1985 ◽  
Vol 24 (2) ◽  
pp. 194-197 ◽  
Author(s):  
Vikram Jha ◽  
Norman L. Johnson
Keyword(s):  
Finite Semifield ◽  
Semifield Planes
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