Automorphisms of groups of order $p^5$

We study automorphisms of groups of order $p^5$ (p is an odd prime number). Groups without any automorphism of order 2 and groups with group automorphisms of order $p^6$ are found.

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Date:1995
Main Authors: Pechenyuk, О. V., Pylyavs'ka, O. S., Печенюк, О. В., Пилявська, О. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1995
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5458
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Pechenyuk, О. V.
Pylyavs'ka, O. S.
Печенюк, О. В.
Пилявська, О. С.
Печенюк, О. В.
Пилявська, О. С.
author_facet Pechenyuk, О. V.
Pylyavs'ka, O. S.
Печенюк, О. В.
Пилявська, О. С.
Печенюк, О. В.
Пилявська, О. С.
author_sort Pechenyuk, О. V.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-19T08:59:28Z
description We study automorphisms of groups of order $p^5$ (p is an odd prime number). Groups without any automorphism of order 2 and groups with group automorphisms of order $p^6$ are found.
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spelling umjimathkievua-article-54582020-03-19T08:59:28Z Automorphisms of groups of order $p^5$ Об автоморфизмах групп порядка $p^5$ Pechenyuk, О. V. Pylyavs'ka, O. S. Печенюк, О. В. Пилявська, О. С. Печенюк, О. В. Пилявська, О. С. We study automorphisms of groups of order $p^5$ (p is an odd prime number). Groups without any automorphism of order 2 and groups with group automorphisms of order $p^6$ are found. Досліджуються автоморфізми груп порядку $p^5$ ($р$ - просте непарне число). Знайдено групи, що не мають автоморфізму порядку 2, а також групи з групою автоморфізмів порядку $p^6$. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5458 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 562-565 Український математичний журнал; Том 47 № 4 (1995); 562-565 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5458/7605 https://umj.imath.kiev.ua/index.php/umj/article/view/5458/7606 Copyright (c) 1995 Pechenyuk О. V.; Pylyavs'ka O. S.
spellingShingle Pechenyuk, О. V.
Pylyavs'ka, O. S.
Печенюк, О. В.
Пилявська, О. С.
Печенюк, О. В.
Пилявська, О. С.
Automorphisms of groups of order $p^5$
title Automorphisms of groups of order $p^5$
title_alt Об автоморфизмах групп порядка $p^5$
title_full Automorphisms of groups of order $p^5$
title_fullStr Automorphisms of groups of order $p^5$
title_full_unstemmed Automorphisms of groups of order $p^5$
title_short Automorphisms of groups of order $p^5$
title_sort automorphisms of groups of order $p^5$
url https://umj.imath.kiev.ua/index.php/umj/article/view/5458
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