О ГРУППАХ С ПРЕДСТАВЛЕНИЕМ < a,b;a^n = 1,ab = b³a³ >

Established that for n = 4 and n ≥ 7 group G(n) = < a,b;a^n = 1,ab = b³a³> are infinite, and for the remaining n evaluated the procedure and investigate the structure of the group G(n).

Bibliographic Details
Main Author: Goryshkin A.P.
Format: Article
Language:English
Published: KamGU by Vitus Bering 2010-04-01
Series:Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:http://krasec.ru/wp-content/uploads/2016/07/vkam103.pdf
id doaj-3480beed52c345bcbc52c69ef010d9eb
record_format Article
spelling doaj-3480beed52c345bcbc52c69ef010d9eb2020-11-25T00:55:19ZengKamGU by Vitus BeringVestnik KRAUNC: Fiziko-Matematičeskie Nauki2079-66412079-665X2010-04-011(1)81110.18454/2079-6641-2010-1-1-8-11О ГРУППАХ С ПРЕДСТАВЛЕНИЕМ < a,b;a^n = 1,ab = b³a³ >Goryshkin A.P.0Kamchatka State University by Vitus Bering, 683032, Petropavlovsk-Kamchatskiy, Pogranichnaya st., 4, RussiaEstablished that for n = 4 and n ≥ 7 group G(n) = < a,b;a^n = 1,ab = b³a³> are infinite, and for the remaining n evaluated the procedure and investigate the structure of the group G(n).http://krasec.ru/wp-content/uploads/2016/07/vkam103.pdfgroupthe order of the subgroupsubgroup
collection DOAJ
language English
format Article
sources DOAJ
author Goryshkin A.P.
spellingShingle Goryshkin A.P.
О ГРУППАХ С ПРЕДСТАВЛЕНИЕМ < a,b;a^n = 1,ab = b³a³ >
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
group
the order of the subgroup
subgroup
author_facet Goryshkin A.P.
author_sort Goryshkin A.P.
title О ГРУППАХ С ПРЕДСТАВЛЕНИЕМ < a,b;a^n = 1,ab = b³a³ >
title_short О ГРУППАХ С ПРЕДСТАВЛЕНИЕМ < a,b;a^n = 1,ab = b³a³ >
title_full О ГРУППАХ С ПРЕДСТАВЛЕНИЕМ < a,b;a^n = 1,ab = b³a³ >
title_fullStr О ГРУППАХ С ПРЕДСТАВЛЕНИЕМ < a,b;a^n = 1,ab = b³a³ >
title_full_unstemmed О ГРУППАХ С ПРЕДСТАВЛЕНИЕМ < a,b;a^n = 1,ab = b³a³ >
title_sort о группах с представлением < a,b;a^n = 1,ab = b³a³ >
publisher KamGU by Vitus Bering
series Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
issn 2079-6641
2079-665X
publishDate 2010-04-01
description Established that for n = 4 and n ≥ 7 group G(n) = < a,b;a^n = 1,ab = b³a³> are infinite, and for the remaining n evaluated the procedure and investigate the structure of the group G(n).
topic group
the order of the subgroup
subgroup
url http://krasec.ru/wp-content/uploads/2016/07/vkam103.pdf
work_keys_str_mv AT goryshkinap ogruppahspredstavleniemaban1abb3a3
_version_ 1725230787144450048