Calculating the mislin genus for a certain family of nilpotent groups

Carles Casacuberta, Peter Hilton

Type: Article

Publication Date: 1991-01-01

Citations: 17

DOI: https://doi.org/10.1080/00927879108824244

View Publication

Locations

Communications in Algebra - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Calculating the genus of a direct product of certain nilpotent groups	1995	P. J. Hilton Dirk Scevenels
+ PDF Chat	On the Structure of the Mislin Genus of a Pullback	2023	Thandile Tonisi Rugare Kwashira Jules Clément
+	Non-cancellation for certain classes of groups	1999	Peter J. Witbooi
+	Generalizing the Hilton–Mislin Genus Group	2001	Peter J. Witbooi
+	Extended genus of torsion-free finitely generated nilpotent groups of class two	1995	Carles Casacuberta Charles Cassidy Youssef El From
+	On the mislin genus of a certain class of nilpotent groups	1998	Dirk Scevenels
+	The genus of a direct product of nilpotent groups of a certain type and non-cancellation phenomena	1995	Dirk Scevenels
+	On the genus of a nilpotent group with finite commutator subgroup	1976	Peter Hilton Guido Mislin
+	Strong genus of nilpotent groups of Hirsch length six	1999	Charles Cassidy Dirk Scevenels
+	Genus and cancellation for groups with finite commutator subgroup	1975	Robert B. Warfield
+	The genus of a direct product of certain nilpotent groups with a finite nilpotent group	1996	Dirk Scevenels
+	On the Genus of the Nilpotent Graphs of Finite Groups	2015	Ashish Kumar Das Deiborlang Nongsiang
+	Counting subgroups in a family of nilpotent semi-direct products	2004	Christopher Voll
+	Counting subgroups in a family of nilpotent semi-direct products	2004	Christopher Voll
+	n-Isoclinism Classes and n-Nilpotency Degree of Finite Groups	2005	Mohammad Reza R. Moghaddam Ali Reza Salemkar Kazem Chiti
+	A criterion for nilpotency of a finite group by the sum of element orders	2019	Marius Tărnăuceanu
+	A criterion for nilpotency of a finite group by the sum of element orders	2019	Marius Tărnăuceanu
+	A conjecture related to the nilpotency of groups with isomorphic non-commuting graphs	2023	Valentina Grazian Carmine Monetta
+	On the Intersection Numbers of Finite Groups	2019	Kassie Archer Humberto Bautista Serrano Kayla Cook L.‐K. Lauderdale Yansy Perez Vincent Villalobos
+	Calculating the genus of certain nilpotent groups	1992	Christopher Schuck P. J. Hilton

Works That Cite This (15)

Action	Title	Year	Authors
+ PDF Chat	Morphisms of Mislin genera induced by finite normal subgroups	2002	P. J. Hilton Peter J. Witbooi
+	The genus of a direct product of nilpotent groups of a certain type and non-cancellation phenomena	1995	Dirk Scevenels
+	Non-cancellation for certain classes of groups	1999	Peter J. Witbooi
+	Non-cancellation for groups with non-abelian torsion	2003	Peter J. Witbooi
+ PDF Chat	Calculating the genus of a direct product of certain nilpotent groups	1995	P. J. Hilton Dirk Scevenels
+	Non-unique direct product decompositions of direct powers of certain metacyclic groups	2000	Peter J. Witbooi
+ PDF Chat	On the localization genus of a direct product of metacyclic groups	2009	Peter J. Witbooi
+	The non-cancellation group of a direct power of a (finite cyclic)-by-cyclic group	2004	Peter J. Witbooi
+	Calculating and interpreting the Mislin genus of a special class of nilpotent spaces	1999	Peter Hilton Dirk Scevenels
+ PDF Chat	On decomposable pseudofree groups	1999	Dirk Scevenels

Works Cited by This (6)

Action	Title	Year	Authors
+	On the genus of a nilpotent group with finite commutator subgroup	1976	Peter Hilton Guido Mislin
+	Groups with isomorphic homology groups and non-cancellation in homotopy theory	1987	Peter Hilton
+	On the genus of groups with operators	1987	Peter Hilton
+	NON-CANCELLATION PROPERTIES FOR CERTAIN FINITELY PRESENTED GROUPS	1986	Peter Hilton
+	Nilpotent groups with finite commutator subgroups	1974	Guido Mislin
+	On the genus of nilpotent groups and spaces	1986	Peter Hilton