| File | |
| Title |
対称空間の代数的モデルとしての準群(II)
|
| Title |
On some Quasigroups of Algebraic Models of Symmetric Spaces(II)
|
| Title Transcription |
タイショウ クウカン ノ ダイスウテキ モデル トシテノ ジュングン ２
|
| Creator |
Kikkawa Michihiko
|
| Source Title |
島根大学文理学部紀要. 理学科編
Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences
|
| Volume | 7 |
| Start Page | 29 |
| End Page | 35 |
| Journal Identifire |
ISSN 03709434
|
| Descriptions |
In the previous paper [3], we introduced a concept of symmetric loop and showed that it is obtained, interchangeably, from a quasigroup of reflection with a base point. The latter is an algebraic model of symmetric space([4],[5]). In this paper, we shall investigate further properties of symmetric loop G about di-associaticity(§1)and show that the left inner mapping group is a subgroup of AutG(§2). In §3, we shall give an embedding of G into a group AutG*, the automorphism group of the quasigroup of reflection of G. The method of embedding was suggested, essentially, by Professor Kiyosi Yamaguti in his recent letter to the author.
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学文理学部
The Faculty of Literature and Science, Shimane University
|
| Date of Issued | 1974-03-10 |
| Access Rights | open access |
| Relation |
[NCID] AN0010806X
|
