On the exponent of spinor groups
Sanghoon Baek
TL;DR
This paper proves that for spinor groups, all exponents greater than 2 divide the Dynkin index 2, providing insights into their algebraic structure.
Contribution
It establishes a divisibility property of exponents of spinor groups, a new result in the theory of algebraic groups.
Findings
All exponents > 2 of spinor groups divide the Dynkin index 2
Provides new structural insights into spinor groups
Advances understanding of algebraic group exponents
Abstract
In this paper, we show that all the exponents of degree greater than 2 of spinor groups divide the Dynkin index 2.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Topics in Algebra