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Commensurator : ウィキペディア英語版
Commensurator
In group theory, a branch of abstract algebra, the commensurator of a subgroup ''H'' of a group ''G'' is a specific subgroup of ''G''.
==Definition==
The commensurator of a subgroup ''H'' of a group ''G'', denoted comm''G''(''H'') or by some comm(''H''),〔Onishchick (2000), p. 94〕 is the set of all elements ''g'' of ''G'' that conjugate ''H'' and leave the result commensurable with ''H''. In other words
: \mathrm_G(H)=\ H \text gHg^\}.〔Geoghegan (2008), p. 348〕

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