Non-nilpotent subgroups of locally graded groups
Colloquium Mathematicae (2015)
- Volume: 138, Issue: 1, page 145-148
- ISSN: 0010-1354
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topMohammad Zarrin. "Non-nilpotent subgroups of locally graded groups." Colloquium Mathematicae 138.1 (2015): 145-148. <http://eudml.org/doc/283736>.
@article{MohammadZarrin2015,
abstract = {We show that a locally graded group with a finite number m of non-(nilpotent of class at most n) subgroups is (soluble of class at most [log₂n] + m + 3)-by-(finite of order ≤ m!). We also show that the derived length of a soluble group with a finite number m of non-(nilpotent of class at most n) subgroups is at most [log₂ n] + m + 1.},
author = {Mohammad Zarrin},
journal = {Colloquium Mathematicae},
keywords = {soluble groups; locally graded groups; non-nilpotent subgroups; Shmidt groups; derived lengths; norm},
language = {eng},
number = {1},
pages = {145-148},
title = {Non-nilpotent subgroups of locally graded groups},
url = {http://eudml.org/doc/283736},
volume = {138},
year = {2015},
}
TY - JOUR
AU - Mohammad Zarrin
TI - Non-nilpotent subgroups of locally graded groups
JO - Colloquium Mathematicae
PY - 2015
VL - 138
IS - 1
SP - 145
EP - 148
AB - We show that a locally graded group with a finite number m of non-(nilpotent of class at most n) subgroups is (soluble of class at most [log₂n] + m + 3)-by-(finite of order ≤ m!). We also show that the derived length of a soluble group with a finite number m of non-(nilpotent of class at most n) subgroups is at most [log₂ n] + m + 1.
LA - eng
KW - soluble groups; locally graded groups; non-nilpotent subgroups; Shmidt groups; derived lengths; norm
UR - http://eudml.org/doc/283736
ER -
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