# 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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