Groups with all subgroups permutable or of finite rank
Open Mathematics (2012)
- Volume: 10, Issue: 3, page 950-957
- ISSN: 2391-5455
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topMartyn Dixon, and Yalcin Karatas. "Groups with all subgroups permutable or of finite rank." Open Mathematics 10.3 (2012): 950-957. <http://eudml.org/doc/268993>.
@article{MartynDixon2012,
abstract = {In this paper we investigate the structure of X-groups in which every subgroup is permutable or of finite rank. We show that every subgroup of such a group is permutable.},
author = {Martyn Dixon, Yalcin Karatas},
journal = {Open Mathematics},
keywords = {Permutable subgroup; Finite rank; Locally nilpotent; permutable subgroups; quasinormal subgroups; groups of finite rank; generalized soluble groups},
language = {eng},
number = {3},
pages = {950-957},
title = {Groups with all subgroups permutable or of finite rank},
url = {http://eudml.org/doc/268993},
volume = {10},
year = {2012},
}
TY - JOUR
AU - Martyn Dixon
AU - Yalcin Karatas
TI - Groups with all subgroups permutable or of finite rank
JO - Open Mathematics
PY - 2012
VL - 10
IS - 3
SP - 950
EP - 957
AB - In this paper we investigate the structure of X-groups in which every subgroup is permutable or of finite rank. We show that every subgroup of such a group is permutable.
LA - eng
KW - Permutable subgroup; Finite rank; Locally nilpotent; permutable subgroups; quasinormal subgroups; groups of finite rank; generalized soluble groups
UR - http://eudml.org/doc/268993
ER -
References
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