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math.CO2024
Groups generated by pattern avoiding permutations
Marilena Barnabei, Niccolò Castronuovo, Matteo Silimbani
We study groups generated by sets of pattern avoiding permutations. In the first part of the paper we prove some general results concerning the structure of such groups. In the sec…
math.CO2022★ 4 cited
Pattern avoiding alternating involutions
Marilena Barnabei, Flavio Bonetti, Niccolò Castronuovo +1
We enumerate and characterize some classes of alternating and reverse alternating involutions avoiding a single pattern of length three or four. If on one hand the case of patterns…
math.CO2019
Consecutive patterns in restricted permutations and involutions
M. Barnabei, F. Bonetti, N. Castronuovo +1
It is well-known that the set of involutions of the symmetric group corresponds bijectively - by the Foata map - to the set of -permutations that…