$D^L$, $D^Q$ Spectrum and Eigenvalue-free Interval of Cayley Graphs over Finite Nilpotent Groups B2VB5T5WQD

URI	`m2://res/B2VB5T5WQD`
Kind	preprint
Creators	Pallabi Manna, Santanu Mandal
Date	2026-10-09
MSC	20-XX
Subjects	arxiv math.GR
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
1KHGCETCWR	example	example 4.9	arxiv
Full $D^L$ and $D^Q$ spectra	statement	corollary 3.3	arxiv
2VREMAV89Y	statement	corollary 4.8	arxiv
4MHQCCTHD6	statement	corollary 4.6	arxiv
$\Irr(G)=\Irr(P_1)\otimes\cdots\otimes\Irr(P_r)$	statement	lemma 3.1	arxiv
Degree regularity	statement	lemma 2.3	arxiv
Vanishing of nontrivial characters	statement	lemma 2.11	arxiv
CN23YN031N	definition	definition 2.2	arxiv
Full distance spectrum	statement	theorem 3.2	arxiv
DRGCQ3VSPJ	statement	lemma 4.5	arxiv
$D^Q$ eigenvalue-free interval	statement	theorem 4.4	arxiv
First Orthogonality Relation	statement	fact 2.10	arxiv
$D^L$ eigenvalue-free interval	statement	theorem 4.3	arxiv
Normality propagates to layers	statement	lemma 2.12	arxiv
Sum of transmissions	statement	fact 2.5	arxiv
KKF8DCPK7C	statement	corollary 4.2	arxiv
Transmission regularity	statement	lemma 2.4	arxiv
Cartesian product structure	statement	lemma 2.6	arxiv
Diagonalization by class functions	statement	lemma 2.9	arxiv
Distance additivity	statement	lemma 2.7	arxiv
Regular representation	statement	fact 2.8	arxiv
VSC2WFK6SE	example	example 3.4	arxiv
Structure of finite nilpotent groups	statement	fact 2.1	arxiv
Simplicity of the extremal eigenvalue	statement	lemma 4.1	arxiv