t-singular linear spaces
Jun Guo, Kaishun Wang, Fenggao Li
TL;DR
This paper introduces t-singular linear spaces as a generalization of singular linear spaces, providing formulas for subspaces and analyzing the suborbits of their automorphism groups.
Contribution
It presents the concept of t-singular linear spaces, derives formulas for subspaces, and determines the suborbits of their automorphism groups, expanding the understanding of linear space structures.
Findings
Formulas for counting subspaces in t-singular linear spaces
Classification of suborbits of t-singular linear groups
Extension of singular linear space theory
Abstract
As a generalization of singular linear spaces, we introduce the concept of t-singular linear spaces, make some anzahl formulas of subspaces, and determine the suborbits of t-singular linear groups.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Topics in Algebra · Coding theory and cryptography