What is the Probability an Automorphism Fixes a Group Element?

DOI10.2307/2319852zbMath0316.20036OpenAlexW4247684548MaRDI QIDQ4075670

Gary J. Sherman

Publication date: 1975

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2319852

Mathematics Subject Classification ID

Combinatorial probability (60C05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Permutation groups (20B99)

Related Items (16)

ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS ⋮ Cyclicity degrees of finite groups. ⋮ Unnamed Item ⋮ How Hamiltonian can a finite group be? ⋮ What is the probability an automorphism fixes a group element? ⋮ On the probability that an automorphism of a group fixes an element of the group ⋮ Largeness and equational probability in groups ⋮ Some bounds for relative autocommutativity degree ⋮ Probability that the commutator of two group elements is equal to a given element. ⋮ THE PROBABILITY OF AN AUTOMORPHISM FIXING A SUBGROUP ELEMENT OF A FINITE GROUP ⋮ Generalized autocommuting probability of a finite group relative to its subgroups ⋮ Autocommuting probability of a finite group ⋮ On the Probability That an Automorphism Fixes a Group Element ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ Unnamed Item ⋮ Probability that an autocommutator element of a finite group equals to a fixed element

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