An Upper Bound of Composition Series
Abhijit Bhattacharjee
TL;DR
This paper establishes a new, optimal upper bound on the length of composition series for finite groups, improving understanding of their structural complexity.
Contribution
It introduces the first nontrivial and best possible upper bound on the composition series length for finite groups.
Findings
Derived a nontrivial upper bound for composition series length
Proved the bound is optimal among known bounds
Enhances understanding of finite group structure
Abstract
An upper bound of composition series of groups of finite order is obtained. The bound is a nontrivial bound and so far best possible.
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Taxonomy
TopicsAdvanced Mathematical Identities · Holomorphic and Operator Theory · Advanced Mathematical Theories