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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
Title Alternative (English)
On some Quasigroups of Algebraic Models of Symmetric Spaces(II)
File
language
eng
Author
Kikkawa, Michihiko
Description
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.
Journal Title
Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences
Volume
7
Start Page
29
End Page
35
ISSN
03709434
Published Date
1974-03-10
NCID
AN0010806X
Publisher
島根大学文理学部
Publisher Aalternative
The Faculty of Literature and Science, Shimane University
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Faculty of Science and Engineering
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