Cycle indices for finite orthogonal groups of even characteristic

Jason Fulman, Jan Saxl, Pham Huu Tiep

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Dedicated to Peter M. Neumann on the occasion of his seventieth birthday We develop cycle index generating functions for orthogonal groups in even characteristic and give some enumerative applications. A key step is the determination of the values of the complex linear-Weil characters of the finite symplectic group, and their induction to the general linear group, at unipotent elements. We also define and study several natural probability measures on integer partitions.

Original languageEnglish (US)
Pages (from-to)2539-2566
Number of pages28
JournalTransactions of the American Mathematical Society
Volume364
Issue number5
DOIs
StatePublished - 2012

Fingerprint

Integer Partitions
General Linear Group
Symplectic Group
Orthogonal Group
Probability Measure
Generating Function
Proof by induction
Finite Group
Cycle
Character

Keywords

  • Cycle index
  • Random matrix
  • Random partition
  • Weil representation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Cycle indices for finite orthogonal groups of even characteristic. / Fulman, Jason; Saxl, Jan; Tiep, Pham Huu.

In: Transactions of the American Mathematical Society, Vol. 364, No. 5, 2012, p. 2539-2566.

Research output: Contribution to journalArticle

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