Group actions on partitions

Byungchan Kim

doi:10.37236/6673

Group actions on partitions

Byungchan Kim

School of Natural Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We introduce group actions on the integer partitions and their variances. Using generating functions and Burnside’s lemma, we study arithmetic properties of the counting functions arising from group actions. In particular, we find a modulo 4 congruence involving the number of ordinary partitions and the number of partitions into distinct parts.

Original language	English
Article number	#P3.58
Journal	Electronic Journal of Combinatorics
Volume	24
Issue number	3
DOIs	https://doi.org/10.37236/6673
State	Published - 22 Sep 2017

Keywords

Bailey Lemma
Bailey pairs
Group action
Partition congruence
Partitions
Unimodal sequences

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10.37236/6673

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KW - Bailey Lemma

KW - Bailey pairs

KW - Group action

KW - Partition congruence

KW - Partitions

KW - Unimodal sequences

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Group actions on partitions

Abstract

Keywords

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