# On totally inert simple groups

Martyn Dixon; Martin Evans; Antonio Tortora

Open Mathematics (2010)

- Volume: 8, Issue: 1, page 22-25
- ISSN: 2391-5455

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topMartyn Dixon, Martin Evans, and Antonio Tortora. "On totally inert simple groups." Open Mathematics 8.1 (2010): 22-25. <http://eudml.org/doc/269299>.

@article{MartynDixon2010,

abstract = {A subgroup H of a group G is inert if |H: H ∩ H g| is finite for all g ∈ G and a group G is totally inert if every subgroup H of G is inert. We investigate the structure of minimal normal subgroups of totally inert groups and show that infinite locally graded simple groups cannot be totally inert.},

author = {Martyn Dixon, Martin Evans, Antonio Tortora},

journal = {Open Mathematics},

keywords = {Inert; Totally inert; Simple group; totally inert groups; infinite simple groups; minimal normal subgroups; subgroups of finite index; periodic groups},

language = {eng},

number = {1},

pages = {22-25},

title = {On totally inert simple groups},

url = {http://eudml.org/doc/269299},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Martyn Dixon

AU - Martin Evans

AU - Antonio Tortora

TI - On totally inert simple groups

JO - Open Mathematics

PY - 2010

VL - 8

IS - 1

SP - 22

EP - 25

AB - A subgroup H of a group G is inert if |H: H ∩ H g| is finite for all g ∈ G and a group G is totally inert if every subgroup H of G is inert. We investigate the structure of minimal normal subgroups of totally inert groups and show that infinite locally graded simple groups cannot be totally inert.

LA - eng

KW - Inert; Totally inert; Simple group; totally inert groups; infinite simple groups; minimal normal subgroups; subgroups of finite index; periodic groups

UR - http://eudml.org/doc/269299

ER -

## References

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