PreprintCC BY-NC-ND 4.0HAL
Left braces of size p²q² , for p and q odd primes
Abstract
In a previous paper, we gave a method to classify braces of size mn from the classification of braces of sizes m and n for relatively prime integer numbers m and n such that each solvable group of order mn has a normal subgroup of order m. In this paper, we apply this result to complete the classification of all braces of size p^2q^2 , for p and q odd primes.
Related
- Classification of skew left braces with additive group isomorphic to the infinite dihedral group
- Skew braces whose left series is not generated by right-normed star products
- Classification of finite left-simple skew braces
- Analogues of Grün's lemma and Baer's theorem for skew left braces
- The Left-Nilpotent Residual and Its Supplements in Finite Skew Braces
BibTeX
@misc{crespo2026left,
title = {{Left braces of size p²q² , for p and q odd primes}},
author = {Teresa Crespo},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05747535v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Left braces of size p²q² , for p and q odd primes
AU - Teresa Crespo
PY - 2026
DA - 2026/09/11
PB - HAL
UR - https://hal.science/hal-05747535v1
AB - In a previous paper, we gave a method to classify braces of size mn from the classification of braces of sizes m and n for relatively prime integer numbers m and n such that each solvable group of order mn has a normal subgroup of order m. In this paper, we apply this result to complete the classification of all braces of size p^2q^2 , for p and q odd primes.
ER -