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On supersoluble like groups of automorphisms of compact Riemann surfaces
Abstract
Let G be a not necessary full automorphism group of a compact Riemann surface of genus g. We found sharp bounds for |G| in the terms of g when G belongs to one of the following classes of finite groups sharing similar properties with supersoluble groups: 2-nilpotent, with the Sylow tower of supersoluble type, with ℙ-subnormal cyclic primary subgroups, widely supersoluble, with submodular Sylow subgroups, with submodular cyclic primary subgroups and strongly supersoluble.
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BibTeX
@misc{murashka2026supersoluble,
title = {{On supersoluble like groups of automorphisms of compact Riemann surfaces}},
author = {Viachaslau I. Murashka},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.08391},
eprint = {2611.08391},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.08391},
}
RIS
TY - UNPB
TI - On supersoluble like groups of automorphisms of compact Riemann surfaces
AU - Viachaslau I. Murashka
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.08391
UR - https://arxiv.org/abs/2611.08391
AB - Let G be a not necessary full automorphism group of a compact Riemann surface of genus g. We found sharp bounds for |G| in the terms of g when G belongs to one of the following classes of finite groups sharing similar properties with supersoluble groups: 2-nilpotent, with the Sylow tower of supersoluble type, with ℙ-subnormal cyclic primary subgroups, widely supersoluble, with submodular Sylow subgroups, with submodular cyclic primary subgroups and strongly supersoluble.
ER -