Groups whose elements are not conjugate to their powers
نویسندگان
چکیده
منابع مشابه
Fite : Groups Whose Orders Are Powers of a Prime
In this article two somewhat distinct methods are used to study the properties of groups whose orders are powers of a prime. What may, for the purpose of distinction, be called the usual method is applied in the first part to establish certain properties of the commutators of a group. The commutators are differentiated among themselves by the introduction of the notion of successive commutators...
متن کاملPowers of Coxeter Elements in Infinite Groups Are Reduced
Let W be an infinite irreducible Coxeter group with (s1, . . . , sn) the simple generators. We give a simple proof that the word s1s2 · · · sns1s2 · · · sn · · · s1s2 · · · sn is reduced for any number of repetitions of s1s2 · · · sn. This result was proved for simplylaced, crystallographic groups by Kleiner and Pelley using methods from the theory of quiver representations. Our proof only usin...
متن کاملFinite groups all of whose proper centralizers are cyclic
A finite group $G$ is called a $CC$-group ($Gin CC$) if the centralizer of each noncentral element of $G$ is cyclic. In this article we determine all finite $CC$-groups.
متن کاملElements in finite classical groups whose powers have large 1-Eigenspaces
HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt età la diffusion de documents scientifiques de niveau r...
متن کاملThe Generic Isometry and Measure Preserving Homeomorphism Are Conjugate to Their Powers
It is known that there is a comeagre set of mutually conjugate measure preserving homeomorphisms of Cantor space equipped with the coinflipping probability measure, i.e., Haar measure. We show that the generic measure preserving homeomorphism is moreover conjugate to all of its powers. It follows that the generic measure preserving homeomorphism extends to an action of (Q,+) by measure preservi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2018
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-018-1155-3