Geodesic
Group actions on partitions
Byungchan Kim1
1Seoul National University of Science and Technology
The electronic journal of combinatorics, Tome 24 (2017) no. 3
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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.
DOI : 10.37236/6673
Classification : 05A17, 11P81
Mots-clés : partitions, unimodal sequences, group action, partition congruence, Bailey pairs, Bailey lemma

Byungchan Kim  1

1 Seoul National University of Science and Technology 
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Byungchan Kim. Group actions on partitions. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6673

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