linear analogues of theorems of schur, baer and hall
نویسندگان
چکیده
a celebrated result of i. schur asserts that the derived subgroup of a group is finite provided the group modulo its center is finite, a result that has been the source of many investigations within the theory of groups. in this paper we exhibit a similar result to schur's theorem for vector spaces, acted upon by certain groups. the proof of this analogous result depends on the characteristic of the underlying field. we also give linear versions of corresponding theorems of r. baer and p. hall.
منابع مشابه
the theorems of schur and baer: a survey
this paper gives a short survey of some of the known results generalizing the theorem, credited to i. schur, that if the central factor group is finite then the derived subgroup is also finite.
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عنوان ژورنال:
international journal of group theoryناشر: university of isfahan
ISSN 2251-7650
دوره 2
شماره 1 2013
میزبانی شده توسط پلتفرم ابری doprax.com
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