Real order-automorphism groups
نویسندگان
چکیده
منابع مشابه
AUTOMORPHISM GROUP OF GROUPS OF ORDER pqr
H"{o}lder in 1893 characterized all groups of order $pqr$ where $p>q>r$ are prime numbers. In this paper, by using new presentations of these groups, we compute their full automorphism group.
متن کاملMinimal Odd Order Automorphism Groups
We show that 3 is the smallest order of a non-trivial odd order group which occurs as the full automorphism group of a finite group.
متن کاملAutomorphism groups of real Cayley-Dickson loops
The Cayley-Dickson loop Cn is the multiplicative closure of basic elements of the algebra constructed by n applications of the Cayley-Dickson doubling process (the first few examples of such algebras are real numbers, complex numbers, quaternions, octonions, sedenions). We will discuss properties of the Cayley-Dickson loops, show that these loops are Hamiltonian and describe the structure of th...
متن کاملThe Automorphism Groups of the Groups of Order 8p
The automorphism groups for the groups of orders 8p and 8p are given. The calculations were done using the programming language CAYLEY. Explicit presentations for both the groups of these orders and their automorphism groups are given.
متن کاملThe semigroups of order 9 and their automorphism groups
We report the number of semigroups with 9 elements up to isomorphism or anti-isomorphism to be 52 989 400 714 478 and up to isomorphism to be 105 978 177 936 292. We obtained these results by combining computer search with recently published formulae for the number of nilpotent semigroups of degree 3. We further provide a complete account of the automorphism groups of the semigroups with at mos...
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: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1981
ISSN: 0263-6115
DOI: 10.1017/s144678870001939x