scholarly journals The number of invariant subspaces under a linear operator on finite vector spaces

2011 ◽  
Vol 5 (2) ◽  
pp. 407-416 ◽  
Author(s):  
Harald Fripertinger
2011 ◽  
Vol 311 (4) ◽  
pp. 307-318 ◽  
Author(s):  
S. El-Zanati ◽  
G. Seelinger ◽  
P. Sissokho ◽  
L. Spence ◽  
C. Vanden Eynden

1984 ◽  
Vol 37 (1) ◽  
pp. 80-84 ◽  
Author(s):  
Albert Nijenhuis ◽  
Anita E Solow ◽  
Herbert S Wilf

1986 ◽  
Vol 29 (1) ◽  
pp. 79-83 ◽  
Author(s):  
Klaus Hoechsmann

AbstractIf A is an elementary abelian group, let (A) denote the group of units, modulo torsion, of the group ring Z[A]. We study (A) by means of the compositewhere C and B run over all cyclic subgroups and factor-groups, respectively. This map, γ, is known to be injective; its index, too, is known. In this paper, we determine the rank of γ tensored (over Z);with various fields. Our main result depends only on the functoriality of


1998 ◽  
Vol 179 (1-3) ◽  
pp. 121-132 ◽  
Author(s):  
Daniel A. Klain

2011 ◽  
Vol 34 (3) ◽  
pp. 337-355 ◽  
Author(s):  
Swastik Kopparty ◽  
Vsevolod F. Lev ◽  
Shubhangi Saraf ◽  
Madhu Sudan

2019 ◽  
Vol 19 (11) ◽  
pp. 2050216
Author(s):  
H. Y. Chen ◽  
H. Han ◽  
Z. P. Lu

A graph is worthy if no two vertices have the same neighborhood. In this paper, we characterize the automorphism groups of unworthy edge-transitive bipartite graphs, and present some worthy semisymmetric graphs arising from vector spaces over finite fields. We also determine the automorphism groups of these graphs.


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