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Communications in Algebra Volume 29, 2001 - Issue 5
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Original Articles

CENTRAL AUTOMORPHISMS THAT ARE ALMOST INNER

M. J. Curran Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand
&
D. J. McCaughan Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand
Pages 2081-2087 | Received 01 Nov 1999, Published online: 19 Aug 2006

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M. Shabani-Attar. (2023) On central automorphisms of finite p-groups of class 2. Quaestiones Mathematicae 46:9, pages 1981-1990.
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Rohit Garg & Mandeep Singh. (2023) On the coincidence of automorphism groups of finite p-groups. Quaestiones Mathematicae 46:7, pages 1385-1391.
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Mandeep Singh & Rohit Garg. (2022) On equality of absolute central and IA-automorphism groups of finite p-groups. Communications in Algebra 50:8, pages 3301-3306.
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Mehdi Shabani-Attar. (2017) On equality of certain automorphism groups of finite groups. Communications in Algebra 45:1, pages 437-442.
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Shiv Narain & Ram Karan. (2016) On equality of derival and inner automorphisms of some p-groups. Cogent Mathematics 3:1.
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Zahedeh Azhdari. (2016) Central Automorphisms and Inner Automorphisms in Finitely Generated Groups. Communications in Algebra 44:10, pages 4133-4139.
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M. Shabani-Attar. (2015) On Finite p-Groups Whose IA-Automorphisms Are All Class Preserving. Communications in Algebra 43:6, pages 2437-2442.
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Deepak Gumber & Hemant Kalra. (2015) Finite p-groups with Central Automorphism Group of Minimal Order. Communications in Algebra 43:5, pages 1802-1806.
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ManojK. Yadav. (2013) On Finite p-Groups Whose Central Automorphisms are all Class Preserving. Communications in Algebra 41:12, pages 4576-4592.
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Fatemeh Vosooghpour & Mehri Akhavan-Malayeri. (2013) On Commuting Automorphisms of p-Groups. Communications in Algebra 41:4, pages 1292-1299.
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Mahak Sharma & Deepak Gumber. (2013) On Central Automorphisms of Finite p-Groups. Communications in Algebra 41:3, pages 1117-1122.
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M. Shabani Attar. (2012) Finite p-Groups in Which Each Central Automorphism Fixes Centre Elementwise. Communications in Algebra 40:3, pages 1096-1102.
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ManojK. Yadav. (2009) On Central Automorphisms Fixing the Center Element-Wise. Communications in Algebra 37:12, pages 4325-4331.
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M. J. Curran. (2006) Direct Products with Abelian Automorphism Groups. Communications in Algebra 35:1, pages 389-397.
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M.H. Jafari. (2006) Elementary Abelian p-Groups as Central Automorphism Groups. Communications in Algebra 34:2, pages 601-607.
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Articles from other publishers (27)

Mehdi Shabani-Attar. (2023) A note on central automorphisms that fix the center elementwise. Indian Journal of Pure and Applied Mathematics.
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Zahedeh Azhdari. (2023) On equality of certain subcentral automorphisms in finite p-groups. Journal of Algebra and Its Applications 22:06.
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Rasoul Soleimani. (2022) Some properties of certain automorphism groups of finite p-groups. Asian-European Journal of Mathematics 16:03.
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Mandeep Singh & Rohit Garg. (2022) A direct proof of Müller’s result on automorphisms of finite p-groups. Archiv der Mathematik 119:6, pages 563-567.
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Başak ERGİNKARA & Şehmus FINDIK. (2022) ON CENTRAL AUTOMORPHISMS OF FREE METABELIAN LIE ALGEBRAS. Journal of Universal Mathematics 5:2, pages 61-67.
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Harpal Singh & Sandeep Singh. 2022. Algebra, Analysis, and Associated Topics. Algebra, Analysis, and Associated Topics 71 83 .
M. Singh & R. Garg. (2021) On Commuting Automorphisms of Finite $$p$$-Groups. Mathematical Notes 110:1-2, pages 305-308.
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Sandeep Singh Chahal, Deepak Gumber & Hemant Kalra. (2021) On Autocentral Automorphisms of Finite p-Groups. Results in Mathematics 76:1.
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Hamid Taheri, Mohammd Reza R. Moghaddam & Mohammad Amin Rostamyari. (2019) Some properties on $$\mathrm{IA_Z}$$-automorphisms of groups. Arabian Journal of Mathematics 9:3, pages 691-695.
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Mehdi Shabani-Attar. (2019) Some finite p-groups with central automorphism group of minimal order. Journal of Algebra and Its Applications 19:09, pages 2050167.
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M. Singh & D. Gumber. (2020) On the Coincidence of the Central and Absolute Central Automorphism Groups of Finite p-Groups. Mathematical Notes 107:5-6, pages 863-866.
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M. Singh. (2019) On the Equality of Certain Subgroups of the Automorphism Groups of Finite p-Groups. Mathematical Notes 106:1-2, pages 313-315.
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Mahak Sharma, Hemant Kalra & Deepak Gumber. (2018) Some finite p-groups with central automorphism group of non-minimal order. Journal of Algebra and Its Applications 17:02, pages 1850026.
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Rahul Dattatraya Kitture & Manoj K. Yadav. (2016) Note on Caranti’s method of construction of Miller groups. Monatshefte für Mathematik 185:1, pages 87-101.
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Valeriy G. Bardakov, Pinka Dey & Mahender Singh. (2016) Automorphism groups of quandles arising from groups. Monatshefte für Mathematik 184:4, pages 519-530.
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Özge Öztekin & Naime Ekici. (2017) Central automorphisms of free nilpotent Lie algebras. Journal of Algebra and Its Applications 16:11, pages 1750205.
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Pengfei Bai & Xiuyun Guo. (2016) On finite p-groups with few normal subgroups. Journal of Algebra and Its Applications 16:08, pages 1750159.
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Mahender Singh. (2016) Classification of flat connected quandles. Journal of Knot Theory and Its Ramifications 25:13, pages 1650071.
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Deepak Gumber & Hemant Kalra. (2016) Equality of certain automorphism groups of finite p-groups. Journal of Algebra and Its Applications 15:03, pages 1650056.
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S. Mohsen Ghoraishi. (2015) Finite Groups in Which Class Preserving and Central Automorphisms Coincide. Algebra Colloquium 22:spec01, pages 969-974.
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Zahedeh Azhdari & Mehri Akhavan-Malayeri. (2014) On inner automorphisms and certain central automorphisms of groups. Indian Journal of Pure and Applied Mathematics 45:3, pages 377-394.
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Hemant Kalra & Deepak Gumber. (2013) On equality of central and class preserving automorphisms of finite p-groups. Indian Journal of Pure and Applied Mathematics 44:5, pages 711-725.
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ZAHEDEH AZHDARI & MEHRI AKHAVAN-MALAYERI. (2012) ON AUTOMORPHISMS FIXING CERTAIN GROUPS. Journal of Algebra and Its Applications 12:02, pages 1250163.
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Zahedeh Azhdari. (2013) On Certain Automorphisms of Nilpotent Groups. Mathematical Proceedings of the Royal Irish Academy 113:1, pages 5-17.
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ZAHEDEH AZHDARI & MEHRI AKHAVAN-MALAYERI. (2012) ON INNER AUTOMORPHISMS AND CENTRAL AUTOMORPHISMS OF NILPOTENT GROUP OF CLASS 2. Journal of Algebra and Its Applications 10:06, pages 1283-1290.
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M. SHABANI ATTAR. (2009) ON p -AUTOMORPHISMS THAT ARE INNER . Bulletin of the Australian Mathematical Society 80:2, pages 291-293.
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Mir-Heidar Jafari & Ali-Reza Jamali. (2012) On the Nilpotency and Solubility of the Central Automorphism Group of a Finite Group. Algebra Colloquium 15:03, pages 485-492.
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